9151360469
This PR ensures that one can hover over the function name in fun_induction. Fixes #13673 --------- Co-authored-by: copilot-swe-agent[bot] <198982749+Copilot@users.noreply.github.com>
767 lines
42 KiB
Text
767 lines
42 KiB
Text
{"textDocument": {"uri": "file:///hover.lean"},
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"position": {"line": 3, "character": 8}}
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{"range":
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{"start": {"line": 3, "character": 8}, "end": {"line": 3, "character": 18}},
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"contents":
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{"value":
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"```lean\nTrue.intro : True\n```\n***\n`True` is true, and `True.intro` (or more commonly, `trivial`)\nis the proof. \n***\n*import Init.Prelude*",
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"kind": "markdown"}}
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{"textDocument": {"uri": "file:///hover.lean"},
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"position": {"line": 7, "character": 8}}
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{"range":
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{"start": {"line": 7, "character": 8}, "end": {"line": 7, "character": 18}},
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"contents":
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{"value":
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"```lean\nTrue.intro : True\n```\n***\n`True` is true, and `True.intro` (or more commonly, `trivial`)\nis the proof. \n***\n*import Init.Prelude*",
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"kind": "markdown"}}
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{"textDocument": {"uri": "file:///hover.lean"},
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"position": {"line": 12, "character": 4}}
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{"range":
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{"start": {"line": 12, "character": 4}, "end": {"line": 12, "character": 12}},
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"contents":
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{"value":
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"```lean\nNat.zero : Nat\n```\n***\nZero, the smallest natural number.\n\nUsing `Nat.zero` explicitly should usually be avoided in favor of the literal `0`, which is the\n[simp normal form](REFERENCE/find/?domain=Verso.Genre.Manual.section&name=simp-normal-forms).\n\n***\n*import Init.Prelude*",
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"kind": "markdown"}}
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{"textDocument": {"uri": "file:///hover.lean"},
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"position": {"line": 21, "character": 2}}
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{"range":
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{"start": {"line": 21, "character": 2}, "end": {"line": 21, "character": 23}},
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"contents": {"value": "My tactic ", "kind": "markdown"}}
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{"textDocument": {"uri": "file:///hover.lean"},
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"position": {"line": 21, "character": 8}}
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{"range":
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{"start": {"line": 21, "character": 2}, "end": {"line": 21, "character": 23}},
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"contents": {"value": "My tactic ", "kind": "markdown"}}
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{"textDocument": {"uri": "file:///hover.lean"},
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"position": {"line": 21, "character": 13}}
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{"range":
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{"start": {"line": 21, "character": 13}, "end": {"line": 21, "character": 23}},
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"contents":
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{"value":
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"```lean\nTrue.intro : True\n```\n***\n`True` is true, and `True.intro` (or more commonly, `trivial`)\nis the proof. \n***\n*import Init.Prelude*",
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"kind": "markdown"}}
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{"textDocument": {"uri": "file:///hover.lean"},
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"position": {"line": 28, "character": 6}}
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{"range":
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{"start": {"line": 28, "character": 6}, "end": {"line": 28, "character": 12}},
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"contents":
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{"value":
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"```lean\nLean.Parser.Category.tactic : Lean.Parser.Category\n```\n***\n`tactic` is the builtin syntax category for tactics. These appear after\n`by` in proofs, and they are programs that take in the proof context\n(the hypotheses in scope plus the type of the term to synthesize) and construct\na term of the expected type. For example, `simp` is a tactic, used in:\n```\nexample : 2 + 2 = 4 := by simp\n```\n\n***\n*import Init.Notation*",
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"kind": "markdown"}}
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{"textDocument": {"uri": "file:///hover.lean"},
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"position": {"line": 28, "character": 32}}
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{"range":
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{"start": {"line": 28, "character": 32}, "end": {"line": 28, "character": 36}},
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"contents":
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{"value":
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"```lean\nLean.Parser.Category.term : Lean.Parser.Category\n```\n***\n`term` is the builtin syntax category for terms. A term denotes an expression\nin lean's type theory, for example `2 + 2` is a term. The difference between\n`Term` and `Expr` is that the former is a kind of syntax, while the latter is\nthe result of elaboration. For example `by simp` is also a `Term`, but it elaborates\nto different `Expr`s depending on the context. \n***\n*import Init.Notation*",
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"kind": "markdown"}}
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{"textDocument": {"uri": "file:///hover.lean"},
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"position": {"line": 31, "character": 6}}
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{"range":
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{"start": {"line": 31, "character": 6}, "end": {"line": 31, "character": 12}},
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"contents":
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{"value":
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"```lean\nLean.Parser.Category.tactic : Lean.Parser.Category\n```\n***\n`tactic` is the builtin syntax category for tactics. These appear after\n`by` in proofs, and they are programs that take in the proof context\n(the hypotheses in scope plus the type of the term to synthesize) and construct\na term of the expected type. For example, `simp` is a tactic, used in:\n```\nexample : 2 + 2 = 4 := by simp\n```\n\n***\n*import Init.Notation*",
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"kind": "markdown"}}
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{"textDocument": {"uri": "file:///hover.lean"},
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"position": {"line": 31, "character": 24}}
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{"range":
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{"start": {"line": 31, "character": 23}, "end": {"line": 31, "character": 27}},
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"contents":
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{"value":
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"```lean\nLean.Parser.Category.term : Lean.Parser.Category\n```\n***\n`term` is the builtin syntax category for terms. A term denotes an expression\nin lean's type theory, for example `2 + 2` is a term. The difference between\n`Term` and `Expr` is that the former is a kind of syntax, while the latter is\nthe result of elaboration. For example `by simp` is also a `Term`, but it elaborates\nto different `Expr`s depending on the context. \n***\n*import Init.Notation*",
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"kind": "markdown"}}
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{"textDocument": {"uri": "file:///hover.lean"},
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"position": {"line": 36, "character": 2}}
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{"range":
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{"start": {"line": 36, "character": 2}, "end": {"line": 36, "character": 23}},
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"contents": {"value": "My tactic ", "kind": "markdown"}}
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{"textDocument": {"uri": "file:///hover.lean"},
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"position": {"line": 44, "character": 2}}
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{"range":
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{"start": {"line": 44, "character": 2}, "end": {"line": 44, "character": 23}},
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"contents": {"value": "My tactic ", "kind": "markdown"}}
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{"textDocument": {"uri": "file:///hover.lean"},
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"position": {"line": 49, "character": 16}}
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{"range":
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{"start": {"line": 49, "character": 15}, "end": {"line": 49, "character": 21}},
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"contents":
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{"value": "```lean\nmyNota : Lean.ParserDescr\n```\n***\nMy notation ",
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"kind": "markdown"}}
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{"textDocument": {"uri": "file:///hover.lean"},
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"position": {"line": 52, "character": 7}}
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{"range":
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{"start": {"line": 52, "character": 7}, "end": {"line": 52, "character": 15}},
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"contents":
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{"value": "```lean\n1 : Nat\n```\n***\nMy notation ", "kind": "markdown"}}
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{"textDocument": {"uri": "file:///hover.lean"},
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"position": {"line": 59, "character": 7}}
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{"range":
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{"start": {"line": 59, "character": 7}, "end": {"line": 59, "character": 15}},
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"contents":
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{"value": "```lean\nNat\n```\n***\nMy notation ", "kind": "markdown"}}
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{"textDocument": {"uri": "file:///hover.lean"},
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"position": {"line": 69, "character": 7}}
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{"range":
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{"start": {"line": 69, "character": 7}, "end": {"line": 69, "character": 16}},
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"contents":
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{"value": "```lean\nNat\n```\n***\nMy ultimate notation ", "kind": "markdown"}}
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{"textDocument": {"uri": "file:///hover.lean"},
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"position": {"line": 73, "character": 21}}
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{"range":
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{"start": {"line": 73, "character": 18}, "end": {"line": 73, "character": 25}},
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"contents":
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{"value":
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"```lean\nmyInfix : Lean.TrailingParserDescr\n```\n***\nAddition of natural numbers, typically used via the `+` operator.\n\nThis function is overridden in both the kernel and the compiler to efficiently evaluate using the\narbitrary-precision arithmetic library. The definition provided here is the logical model.\n",
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"kind": "markdown"}}
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{"textDocument": {"uri": "file:///hover.lean"},
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"position": {"line": 73, "character": 39}}
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{"range":
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{"start": {"line": 73, "character": 38}, "end": {"line": 73, "character": 45}},
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"contents":
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{"value":
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"```lean\nNat.add : Nat → Nat → Nat\n```\n***\nAddition of natural numbers, typically used via the `+` operator.\n\nThis function is overridden in both the kernel and the compiler to efficiently evaluate using the\narbitrary-precision arithmetic library. The definition provided here is the logical model.\n\n***\n*import Init.Prelude*",
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"kind": "markdown"}}
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{"textDocument": {"uri": "file:///hover.lean"},
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"position": {"line": 77, "character": 10}}
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{"range":
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{"start": {"line": 77, "character": 7}, "end": {"line": 77, "character": 14}},
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"contents":
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{"value":
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"```lean\nNat\n```\n***\nAddition of natural numbers, typically used via the `+` operator.\n\nThis function is overridden in both the kernel and the compiler to efficiently evaluate using the\narbitrary-precision arithmetic library. The definition provided here is the logical model.\n",
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"kind": "markdown"}}
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{"textDocument": {"uri": "file:///hover.lean"},
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"position": {"line": 82, "character": 7}}
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{"range":
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{"start": {"line": 82, "character": 7}, "end": {"line": 82, "character": 8}},
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"contents":
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{"value":
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"```lean\nNat : Type\n```\n***\nThe natural numbers, starting at zero.\n\nThis type is special-cased by both the kernel and the compiler, and overridden with an efficient\nimplementation. Both use a fast arbitrary-precision arithmetic library (usually\n[GMP](https://gmplib.org/)); at runtime, `Nat` values that are sufficiently small are unboxed.\n\n***\n*import Init.Prelude*",
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"kind": "markdown"}}
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{"textDocument": {"uri": "file:///hover.lean"},
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"position": {"line": 87, "character": 14}}
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{"range":
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{"start": {"line": 87, "character": 14}, "end": {"line": 87, "character": 36}},
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"contents":
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{"value":
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"```lean\nLean.Parser.Term.doSeq : Lean.Parser.Parser\n```\n***\nA `doSeq` is a sequence of `doElem`, the main argument after the `do` keyword and other\ndo elements that take blocks. It can either have the form `\"{\" (doElem \";\"?)* \"}\"` or\n`many1Indent (doElem \";\"?)`, where `many1Indent` ensures that all the items are at\nthe same or higher indentation level as the first line. \n***\n*import Lean.Parser.Do*",
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"kind": "markdown"}}
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{"textDocument": {"uri": "file:///hover.lean"},
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"position": {"line": 89, "character": 30}}
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{"range":
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{"start": {"line": 89, "character": 29}, "end": {"line": 89, "character": 34}},
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"contents":
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{"value":
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"```lean\nLean.Parser.Term.doSeq : Lean.Parser.Parser\n```\n***\nA `doSeq` is a sequence of `doElem`, the main argument after the `do` keyword and other\ndo elements that take blocks. It can either have the form `\"{\" (doElem \";\"?)* \"}\"` or\n`many1Indent (doElem \";\"?)`, where `many1Indent` ensures that all the items are at\nthe same or higher indentation level as the first line. \n***\n*import Lean.Parser.Do*",
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"kind": "markdown"}}
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{"textDocument": {"uri": "file:///hover.lean"},
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"position": {"line": 92, "character": 2}}
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{"range":
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{"start": {"line": 92, "character": 0}, "end": {"line": 92, "character": 7}},
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"contents": {"value": "My command ", "kind": "markdown"}}
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{"textDocument": {"uri": "file:///hover.lean"},
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"position": {"line": 99, "character": 2}}
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{"range":
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{"start": {"line": 99, "character": 0}, "end": {"line": 99, "character": 7}},
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"contents": {"value": "My command ", "kind": "markdown"}}
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{"textDocument": {"uri": "file:///hover.lean"},
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"position": {"line": 102, "character": 16}}
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{"range":
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{"start": {"line": 102, "character": 16},
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"end": {"line": 102, "character": 23}},
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"contents":
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{"value":
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"```lean\nLean.Parser.ppSpace : Lean.Parser.Parser\n```\n***\nNo-op parser that advises the pretty printer to emit a space/soft line break. \n***\n*import Lean.Parser.Extra*",
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"kind": "markdown"}}
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{"textDocument": {"uri": "file:///hover.lean"},
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"position": {"line": 102, "character": 24}}
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{"range":
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{"start": {"line": 102, "character": 24},
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"end": {"line": 102, "character": 31}},
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"contents":
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{"value":
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"```lean\nLean.ParserDescr.sepBy1 (p : Lean.ParserDescr) (sep : String) (psep : Lean.ParserDescr)\n (allowTrailingSep : Bool := false) : Lean.ParserDescr\n```\n***\n`sepBy1` is just like `sepBy`, except it takes 1 or more instead of\n0 or more occurrences of `p`. \n***\n*import Init.Prelude*",
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"kind": "markdown"}}
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{"textDocument": {"uri": "file:///hover.lean"},
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"position": {"line": 102, "character": 31}}
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{"range":
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{"start": {"line": 102, "character": 31},
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"end": {"line": 102, "character": 35}},
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"contents":
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{"value":
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"```lean\nLean.Parser.Category.term : Lean.Parser.Category\n```\n***\n`term` is the builtin syntax category for terms. A term denotes an expression\nin lean's type theory, for example `2 + 2` is a term. The difference between\n`Term` and `Expr` is that the former is a kind of syntax, while the latter is\nthe result of elaboration. For example `by simp` is also a `Term`, but it elaborates\nto different `Expr`s depending on the context. \n***\n*import Init.Notation*",
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"kind": "markdown"}}
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{"textDocument": {"uri": "file:///hover.lean"},
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"position": {"line": 111, "character": 2}}
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{"range":
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{"start": {"line": 111, "character": 0}, "end": {"line": 111, "character": 8}},
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"contents": {"value": "My ultimate command ", "kind": "markdown"}}
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{"textDocument": {"uri": "file:///hover.lean"},
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"position": {"line": 115, "character": 10}}
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{"range":
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{"start": {"line": 115, "character": 8},
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"end": {"line": 115, "character": 14}},
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"contents":
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{"value":
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"Structure instance. `{ x := e, ... }` assigns `e` to field `x`, which may be\ninherited. If `e` is itself a variable called `x`, it can be elided:\n`fun y => { x := 1, y }`.\nA *structure update* of an existing value can be given via `with`:\n`{ point with x := 1 }`.\nThe structure type can be specified if not inferable:\n`{ x := 1, y := 2 : Point }`.\n",
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"kind": "markdown"}}
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{"textDocument": {"uri": "file:///hover.lean"},
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"position": {"line": 119, "character": 8}}
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{"range":
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{"start": {"line": 119, "character": 8},
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"end": {"line": 119, "character": 10}},
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"contents":
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{"value":
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"```lean\nid.{u} {α : Sort u} (a : α) : α\n```\n***\nThe identity function. `id` takes an implicit argument `α : Sort u`\n(a type in any universe), and an argument `a : α`, and returns `a`.\n\nAlthough this may look like a useless function, one application of the identity\nfunction is to explicitly put a type on an expression. If `e` has type `T`,\nand `T'` is definitionally equal to `T`, then `@id T' e` typechecks, and Lean\nknows that this expression has type `T'` rather than `T`. This can make a\ndifference for typeclass inference, since `T` and `T'` may have different\ntypeclass instances on them. `show T' from e` is sugar for an `@id T' e`\nexpression.\n\n***\n*import Init.Prelude*",
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"kind": "markdown"}}
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{"textDocument": {"uri": "file:///hover.lean"},
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"position": {"line": 119, "character": 10}}
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{"range":
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{"start": {"line": 119, "character": 8},
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"end": {"line": 119, "character": 21}},
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"contents": {"value": "```lean\nTrue\n```", "kind": "markdown"}}
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{"textDocument": {"uri": "file:///hover.lean"},
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"position": {"line": 126, "character": 2}}
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{"range":
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{"start": {"line": 126, "character": 2}, "end": {"line": 126, "character": 3}},
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"contents": {"value": "```lean\nn : Id ℕ\n```", "kind": "markdown"}}
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{"textDocument": {"uri": "file:///hover.lean"},
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"position": {"line": 133, "character": 9}}
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"end": {"line": 133, "character": 17}},
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"contents": {"value": "```lean\nfoo : ℕ\n```", "kind": "markdown"}}
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{"textDocument": {"uri": "file:///hover.lean"},
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"position": {"line": 138, "character": 7}}
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{"range":
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{"start": {"line": 138, "character": 7},
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"end": {"line": 138, "character": 10}},
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"contents": {"value": "```lean\nBar.foo : ℕ\n```", "kind": "markdown"}}
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{"textDocument": {"uri": "file:///hover.lean"},
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"position": {"line": 141, "character": 9}}
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{"range":
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{"start": {"line": 141, "character": 7},
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"end": {"line": 141, "character": 17}},
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"contents": {"value": "```lean\n_root_.foo : ℕ\n```", "kind": "markdown"}}
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{"textDocument": {"uri": "file:///hover.lean"},
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"position": {"line": 144, "character": 4}}
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{"range":
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{"start": {"line": 144, "character": 4}, "end": {"line": 144, "character": 7}},
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"contents": {"value": "```lean\nBar.bar : ℕ\n```", "kind": "markdown"}}
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{"textDocument": {"uri": "file:///hover.lean"},
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"position": {"line": 147, "character": 10}}
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{"range":
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{"start": {"line": 147, "character": 10},
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"end": {"line": 147, "character": 13}},
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"contents": {"value": "```lean\nBar.Foo : Type\n```", "kind": "markdown"}}
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{"textDocument": {"uri": "file:///hover.lean"},
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"position": {"line": 147, "character": 17}}
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{"range":
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{"start": {"line": 147, "character": 17},
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"end": {"line": 147, "character": 19}},
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"contents":
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{"value": "```lean\nBar.Foo.mk (hi : ℕ) : Foo\n```", "kind": "markdown"}}
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{"textDocument": {"uri": "file:///hover.lean"},
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"position": {"line": 150, "character": 2}}
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{"range":
|
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{"start": {"line": 150, "character": 2}, "end": {"line": 150, "character": 4}},
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"contents":
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{"value": "```lean\nBar.Foo.hi (self : Foo) : ℕ\n```", "kind": "markdown"}}
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{"textDocument": {"uri": "file:///hover.lean"},
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"position": {"line": 153, "character": 10}}
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{"range":
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{"start": {"line": 153, "character": 10},
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"end": {"line": 153, "character": 13}},
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"contents": {"value": "```lean\nBar.Bar : Type\n```", "kind": "markdown"}}
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{"textDocument": {"uri": "file:///hover.lean"},
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"position": {"line": 155, "character": 4}}
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{"range":
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{"start": {"line": 155, "character": 4}, "end": {"line": 155, "character": 6}},
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"contents": {"value": "```lean\nBar.Bar.mk : Bar\n```", "kind": "markdown"}}
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{"textDocument": {"uri": "file:///hover.lean"},
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"position": {"line": 158, "character": 2}}
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{"range":
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{"start": {"line": 158, "character": 0}, "end": {"line": 158, "character": 8}},
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"contents":
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{"value":
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"```lean\nBar.«instToStringNat_external:file:///hover.lean» : ToString ℕ\n```",
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"kind": "markdown"}}
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{"textDocument": {"uri": "file:///hover.lean"},
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"position": {"line": 160, "character": 9}}
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{"range":
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{"start": {"line": 160, "character": 9},
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"end": {"line": 160, "character": 10}},
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"contents": {"value": "```lean\nBar.f : ToString ℕ\n```", "kind": "markdown"}}
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{"textDocument": {"uri": "file:///hover.lean"},
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"position": {"line": 163, "character": 10}}
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{"range":
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{"start": {"line": 163, "character": 10},
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"end": {"line": 163, "character": 16}},
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"contents":
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{"value": "A type universe. `Type ≡ Type 0`, `Type u ≡ Sort (u + 1)`. ",
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"kind": "markdown"}}
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{"textDocument": {"uri": "file:///hover.lean"},
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"position": {"line": 166, "character": 4}}
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{"range":
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{"start": {"line": 166, "character": 4},
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"end": {"line": 166, "character": 11}},
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"contents": {"value": "```lean\nBar.foo.bar : ℕ\n```", "kind": "markdown"}}
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{"textDocument": {"uri": "file:///hover.lean"},
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"position": {"line": 166, "character": 8}}
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"end": {"line": 166, "character": 11}},
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"contents": {"value": "```lean\nBar.foo.bar : ℕ\n```", "kind": "markdown"}}
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"contents": {"value": "```lean\nx : ℕ\n```", "kind": "markdown"}}
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{"textDocument": {"uri": "file:///hover.lean"},
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[{"targetUri": "file:///hover.lean",
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{"start": {"line": 176, "character": 4}, "end": {"line": 176, "character": 5}},
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"contents": {"value": "```lean\nx : ℕ\n```", "kind": "markdown"}}
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{"start": {"line": 180, "character": 11},
|
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"end": {"line": 180, "character": 33}},
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||
"contents":
|
||
{"value": "Enables or disables all unused variable linter warnings ",
|
||
"kind": "markdown"}}
|
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{"textDocument": {"uri": "file:///hover.lean"},
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"position": {"line": 183, "character": 8}}
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{"start": {"line": 183, "character": 8}, "end": {"line": 183, "character": 9}},
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"contents": {"value": "```lean\nx : ℕ\n```", "kind": "markdown"}}
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{"textDocument": {"uri": "file:///hover.lean"},
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"position": {"line": 186, "character": 8}}
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[{"targetUri": "file:///hover.lean",
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"originSelectionRange":
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"end": {"line": 186, "character": 9}}}]
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{"textDocument": {"uri": "file:///hover.lean"},
|
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"position": {"line": 186, "character": 8}}
|
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{"range":
|
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{"start": {"line": 186, "character": 8}, "end": {"line": 186, "character": 9}},
|
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"contents": {"value": "```lean\nx : ℕ\n```", "kind": "markdown"}}
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{"textDocument": {"uri": "file:///hover.lean"},
|
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"position": {"line": 191, "character": 25}}
|
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{"range":
|
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{"start": {"line": 191, "character": 25},
|
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"end": {"line": 191, "character": 26}},
|
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"contents": {"value": "```lean\nn : ℕ\n```", "kind": "markdown"}}
|
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{"textDocument": {"uri": "file:///hover.lean"},
|
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"position": {"line": 194, "character": 2}}
|
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{"range":
|
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{"start": {"line": 194, "character": 2}, "end": {"line": 194, "character": 8}},
|
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"contents":
|
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{"value":
|
||
"Changes the inlining behavior. This attribute comes in several variants:\n- `@[inline]`: marks the definition to be inlined when it is appropriate.\n- `@[inline_if_reduce]`: marks the definition to be inlined if an application of it after inlining\n and applying reduction isn't a `match` expression. This attribute can be used for inlining\n structurally recursive functions.\n- `@[noinline]`: marks the definition to never be inlined.\n- `@[always_inline]`: marks the definition to always be inlined.\n- `@[macro_inline]`: marks the definition to always be inlined at the beginning of compilation.\n This makes it possible to define functions that evaluate some of their parameters lazily.\n Example:\n ```\n @[macro_inline]\n def test (x y : Nat) : Nat :=\n if x = 42 then x else y\n\n #eval test 42 (2^1000000000000) -- doesn't compute 2^1000000000000\n ```\n Only non-recursive functions may be marked `@[macro_inline]`.\n",
|
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"kind": "markdown"}}
|
||
{"textDocument": {"uri": "file:///hover.lean"},
|
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"position": {"line": 200, "character": 2}}
|
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{"range":
|
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{"start": {"line": 200, "character": 2},
|
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"end": {"line": 200, "character": 15}},
|
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"contents":
|
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{"value":
|
||
"`· tac` focuses on the main goal and tries to solve it using `tac`, or else fails. ",
|
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"kind": "markdown"}}
|
||
{"textDocument": {"uri": "file:///hover.lean"},
|
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"position": {"line": 203, "character": 28}}
|
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{"range":
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{"start": {"line": 203, "character": 27},
|
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"end": {"line": 203, "character": 32}},
|
||
"contents":
|
||
{"value":
|
||
"```lean\nId ℕ\n```\n***\nParentheses, used for grouping expressions (e.g., `a * (b + c)`).\nCan also be used for creating simple functions when combined with `·`. Here are some examples:\n - `(· + 1)` is shorthand for `fun x => x + 1`\n - `(· + ·)` is shorthand for `fun x y => x + y`\n - `(f · a b)` is shorthand for `fun x => f x a b`\n - `(h (· + 1) ·)` is shorthand for `fun x => h (fun y => y + 1) x`\n - also applies to other parentheses-like notations such as `(·, 1)` and `(· : Nat → Nat)`\n",
|
||
"kind": "markdown"}}
|
||
{"textDocument": {"uri": "file:///hover.lean"},
|
||
"position": {"line": 206, "character": 8}}
|
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{"range":
|
||
{"start": {"line": 206, "character": 8}, "end": {"line": 206, "character": 9}},
|
||
"contents": {"value": "```lean\n?m\n```", "kind": "markdown"}}
|
||
{"textDocument": {"uri": "file:///hover.lean"},
|
||
"position": {"line": 206, "character": 10}}
|
||
{"range":
|
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{"start": {"line": 206, "character": 8},
|
||
"end": {"line": 206, "character": 13}},
|
||
"contents":
|
||
{"value":
|
||
"```lean\n?m x1✝ x2✝\n```\n***\n`a + b` computes the sum of `a` and `b`.\nThe meaning of this notation is type-dependent. \n\nConventions for notations in identifiers:\n\n * The recommended spelling of `+` in identifiers is `add`.",
|
||
"kind": "markdown"}}
|
||
{"textDocument": {"uri": "file:///hover.lean"},
|
||
"position": {"line": 215, "character": 28}}
|
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{"range":
|
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{"start": {"line": 215, "character": 28},
|
||
"end": {"line": 215, "character": 29}},
|
||
"contents": {"value": "```lean\nx : α\n```", "kind": "markdown"}}
|
||
{"textDocument": {"uri": "file:///hover.lean"},
|
||
"position": {"line": 217, "character": 28}}
|
||
{"range":
|
||
{"start": {"line": 217, "character": 28},
|
||
"end": {"line": 217, "character": 29}},
|
||
"contents": {"value": "```lean\nα\n```", "kind": "markdown"}}
|
||
{"textDocument": {"uri": "file:///hover.lean"},
|
||
"position": {"line": 219, "character": 31}}
|
||
{"range":
|
||
{"start": {"line": 219, "character": 31},
|
||
"end": {"line": 219, "character": 32}},
|
||
"contents": {"value": "```lean\nx : α\n```", "kind": "markdown"}}
|
||
{"textDocument": {"uri": "file:///hover.lean"},
|
||
"position": {"line": 222, "character": 22}}
|
||
{"range":
|
||
{"start": {"line": 222, "character": 22},
|
||
"end": {"line": 222, "character": 32}},
|
||
"contents": {"value": "my_intro tactic ", "kind": "markdown"}}
|
||
{"textDocument": {"uri": "file:///hover.lean"},
|
||
"position": {"line": 222, "character": 31}}
|
||
{"range":
|
||
{"start": {"line": 222, "character": 31},
|
||
"end": {"line": 222, "character": 32}},
|
||
"contents": {"value": "```lean\nα\n```", "kind": "markdown"}}
|
||
{"textDocument": {"uri": "file:///hover.lean"},
|
||
"position": {"line": 229, "character": 22}}
|
||
{"range":
|
||
{"start": {"line": 229, "character": 22},
|
||
"end": {"line": 229, "character": 32}},
|
||
"contents": {"value": "my_intro tactic ", "kind": "markdown"}}
|
||
{"textDocument": {"uri": "file:///hover.lean"},
|
||
"position": {"line": 231, "character": 17}}
|
||
{"range":
|
||
{"start": {"line": 231, "character": 17},
|
||
"end": {"line": 231, "character": 25}},
|
||
"contents":
|
||
{"value": "```lean\nmy_intro : ℕ\n```\n***\nmy_intro term ",
|
||
"kind": "markdown"}}
|
||
{"textDocument": {"uri": "file:///hover.lean"},
|
||
"position": {"line": 235, "character": 8}}
|
||
{"range":
|
||
{"start": {"line": 235, "character": 8}, "end": {"line": 235, "character": 9}},
|
||
"contents": {"value": "```lean\nx : ℕ\n```", "kind": "markdown"}}
|
||
{"textDocument": {"uri": "file:///hover.lean"},
|
||
"position": {"line": 238, "character": 4}}
|
||
{"range":
|
||
{"start": {"line": 238, "character": 4}, "end": {"line": 238, "character": 8}},
|
||
"contents":
|
||
{"value":
|
||
"```lean\nNat.zero : ℕ\n```\n***\nZero, the smallest natural number.\n\nUsing `Nat.zero` explicitly should usually be avoided in favor of the literal `0`, which is the\n[simp normal form](REFERENCE/find/?domain=Verso.Genre.Manual.section&name=simp-normal-forms).\n\n***\n*import Init.Prelude*",
|
||
"kind": "markdown"}}
|
||
{"textDocument": {"uri": "file:///hover.lean"},
|
||
"position": {"line": 241, "character": 4}}
|
||
{"range":
|
||
{"start": {"line": 241, "character": 4}, "end": {"line": 241, "character": 8}},
|
||
"contents":
|
||
{"value":
|
||
"```lean\nNat.succ (n : ℕ) : ℕ\n```\n***\nThe successor of a natural number `n`.\n\nUsing `Nat.succ n` should usually be avoided in favor of `n + 1`, which is the [simp normal\nform](REFERENCE/find/?domain=Verso.Genre.Manual.section&name=simp-normal-forms).\n\n***\n*import Init.Prelude*",
|
||
"kind": "markdown"}}
|
||
{"textDocument": {"uri": "file:///hover.lean"},
|
||
"position": {"line": 241, "character": 9}}
|
||
{"range":
|
||
{"start": {"line": 241, "character": 9},
|
||
"end": {"line": 241, "character": 10}},
|
||
"contents": {"value": "```lean\nx : ℕ\n```", "kind": "markdown"}}
|
||
{"textDocument": {"uri": "file:///hover.lean"},
|
||
"position": {"line": 245, "character": 8}}
|
||
{"range":
|
||
{"start": {"line": 245, "character": 8}, "end": {"line": 245, "character": 9}},
|
||
"contents": {"value": "```lean\nx : ℕ\n```", "kind": "markdown"}}
|
||
{"textDocument": {"uri": "file:///hover.lean"},
|
||
"position": {"line": 247, "character": 12}}
|
||
{"range":
|
||
{"start": {"line": 247, "character": 12},
|
||
"end": {"line": 247, "character": 13}},
|
||
"contents": {"value": "```lean\nx : ℕ\n```", "kind": "markdown"}}
|
||
{"textDocument": {"uri": "file:///hover.lean"},
|
||
"position": {"line": 249, "character": 4}}
|
||
{"range":
|
||
{"start": {"line": 249, "character": 4}, "end": {"line": 249, "character": 8}},
|
||
"contents":
|
||
{"value":
|
||
"```lean\nNat.zero : ℕ\n```\n***\nZero, the smallest natural number.\n\nUsing `Nat.zero` explicitly should usually be avoided in favor of the literal `0`, which is the\n[simp normal form](REFERENCE/find/?domain=Verso.Genre.Manual.section&name=simp-normal-forms).\n\n***\n*import Init.Prelude*",
|
||
"kind": "markdown"}}
|
||
{"textDocument": {"uri": "file:///hover.lean"},
|
||
"position": {"line": 252, "character": 9}}
|
||
{"range":
|
||
{"start": {"line": 252, "character": 9},
|
||
"end": {"line": 252, "character": 10}},
|
||
"contents":
|
||
{"value":
|
||
"```lean\nℕ\n```\n***\nA *hole* (or *placeholder term*), which stands for an unknown term that is expected to be inferred based on context.\nFor example, in `@id _ Nat.zero`, the `_` must be the type of `Nat.zero`, which is `Nat`.\n\nThe way this works is that holes create fresh metavariables.\nThe elaborator is allowed to assign terms to metavariables while it is checking definitional equalities.\nThis is often known as *unification*.\n\nNormally, all holes must be solved for. However, there are a few contexts where this is not necessary:\n* In `match` patterns, holes are catch-all patterns.\n* In some tactics, such as `refine'` and `apply`, unsolved-for placeholders become new goals.\n\nRelated concept: implicit parameters are automatically filled in with holes during the elaboration process.\n\nSee also `?m` syntax (synthetic holes).\n",
|
||
"kind": "markdown"}}
|
||
{"textDocument": {"uri": "file:///hover.lean"},
|
||
"position": {"line": 252, "character": 11}}
|
||
{"range":
|
||
{"start": {"line": 252, "character": 11},
|
||
"end": {"line": 252, "character": 13}},
|
||
"contents": {"value": "```lean\nih : True\n```", "kind": "markdown"}}
|
||
{"textDocument": {"uri": "file:///hover.lean"},
|
||
"position": {"line": 257, "character": 6}}
|
||
{"range":
|
||
{"start": {"line": 257, "character": 4}, "end": {"line": 257, "character": 9}},
|
||
"contents":
|
||
{"value":
|
||
"```lean\nNat.zero : ℕ\n```\n***\nZero, the smallest natural number.\n\nUsing `Nat.zero` explicitly should usually be avoided in favor of the literal `0`, which is the\n[simp normal form](REFERENCE/find/?domain=Verso.Genre.Manual.section&name=simp-normal-forms).\n\n***\n*import Init.Prelude*",
|
||
"kind": "markdown"}}
|
||
{"textDocument": {"uri": "file:///hover.lean"},
|
||
"position": {"line": 257, "character": 15}}
|
||
{"range":
|
||
{"start": {"line": 257, "character": 13},
|
||
"end": {"line": 257, "character": 18}},
|
||
"contents":
|
||
{"value":
|
||
"```lean\nNat.zero : ℕ\n```\n***\nZero, the smallest natural number.\n\nUsing `Nat.zero` explicitly should usually be avoided in favor of the literal `0`, which is the\n[simp normal form](REFERENCE/find/?domain=Verso.Genre.Manual.section&name=simp-normal-forms).\n\n***\n*import Init.Prelude*",
|
||
"kind": "markdown"}}
|
||
{"textDocument": {"uri": "file:///hover.lean"},
|
||
"position": {"line": 260, "character": 6}}
|
||
{"range":
|
||
{"start": {"line": 260, "character": 4}, "end": {"line": 260, "character": 9}},
|
||
"contents":
|
||
{"value":
|
||
"```lean\nNat.succ (n : ℕ) : ℕ\n```\n***\nThe successor of a natural number `n`.\n\nUsing `Nat.succ n` should usually be avoided in favor of `n + 1`, which is the [simp normal\nform](REFERENCE/find/?domain=Verso.Genre.Manual.section&name=simp-normal-forms).\n\n***\n*import Init.Prelude*",
|
||
"kind": "markdown"}}
|
||
{"textDocument": {"uri": "file:///hover.lean"},
|
||
"position": {"line": 260, "character": 17}}
|
||
{"range":
|
||
{"start": {"line": 260, "character": 15},
|
||
"end": {"line": 260, "character": 20}},
|
||
"contents":
|
||
{"value":
|
||
"```lean\nNat.succ (n : ℕ) : ℕ\n```\n***\nThe successor of a natural number `n`.\n\nUsing `Nat.succ n` should usually be avoided in favor of `n + 1`, which is the [simp normal\nform](REFERENCE/find/?domain=Verso.Genre.Manual.section&name=simp-normal-forms).\n\n***\n*import Init.Prelude*",
|
||
"kind": "markdown"}}
|
||
{"textDocument": {"uri": "file:///hover.lean"},
|
||
"position": {"line": 263, "character": 27}}
|
||
{"range":
|
||
{"start": {"line": 263, "character": 27},
|
||
"end": {"line": 263, "character": 37}},
|
||
"contents":
|
||
{"value":
|
||
"```lean\nInhabited.mk.{u} {α : Sort u} (default : α) : Inhabited α\n```\n***\n*import Init.Prelude*",
|
||
"kind": "markdown"}}
|
||
{"textDocument": {"uri": "file:///hover.lean"},
|
||
"position": {"line": 263, "character": 28}}
|
||
{"range":
|
||
{"start": {"line": 263, "character": 28},
|
||
"end": {"line": 263, "character": 36}},
|
||
"contents":
|
||
{"value":
|
||
"```lean\nNat.zero : ℕ\n```\n***\nZero, the smallest natural number.\n\nUsing `Nat.zero` explicitly should usually be avoided in favor of the literal `0`, which is the\n[simp normal form](REFERENCE/find/?domain=Verso.Genre.Manual.section&name=simp-normal-forms).\n\n***\n*import Init.Prelude*",
|
||
"kind": "markdown"}}
|
||
{"textDocument": {"uri": "file:///hover.lean"},
|
||
"position": {"line": 269, "character": 2}}
|
||
{"range":
|
||
{"start": {"line": 269, "character": 2}, "end": {"line": 269, "character": 3}},
|
||
"contents":
|
||
{"value":
|
||
"```lean\nℕ\n```\n***\nA *hole* (or *placeholder term*), which stands for an unknown term that is expected to be inferred based on context.\nFor example, in `@id _ Nat.zero`, the `_` must be the type of `Nat.zero`, which is `Nat`.\n\nThe way this works is that holes create fresh metavariables.\nThe elaborator is allowed to assign terms to metavariables while it is checking definitional equalities.\nThis is often known as *unification*.\n\nNormally, all holes must be solved for. However, there are a few contexts where this is not necessary:\n* In `match` patterns, holes are catch-all patterns.\n* In some tactics, such as `refine'` and `apply`, unsolved-for placeholders become new goals.\n\nRelated concept: implicit parameters are automatically filled in with holes during the elaboration process.\n\nSee also `?m` syntax (synthetic holes).\n",
|
||
"kind": "markdown"}}
|
||
{"textDocument": {"uri": "file:///hover.lean"},
|
||
"position": {"line": 272, "character": 4}}
|
||
{"range":
|
||
{"start": {"line": 272, "character": 4}, "end": {"line": 272, "character": 8}},
|
||
"contents":
|
||
{"value": "```lean\nauto (o : ℕ := by exact 1) : ℕ\n```", "kind": "markdown"}}
|
||
{"textDocument": {"uri": "file:///hover.lean"},
|
||
"position": {"line": 277, "character": 22}}
|
||
{"range":
|
||
{"start": {"line": 277, "character": 22},
|
||
"end": {"line": 277, "character": 23}},
|
||
"contents": {"value": "```lean\nx : ℕ\n```", "kind": "markdown"}}
|
||
{"textDocument": {"uri": "file:///hover.lean"},
|
||
"position": {"line": 277, "character": 13}}
|
||
{"range":
|
||
{"start": {"line": 277, "character": 13},
|
||
"end": {"line": 277, "character": 15}},
|
||
"contents": {"value": "```lean\n_e : 1 = x\n```", "kind": "markdown"}}
|
||
{"textDocument": {"uri": "file:///hover.lean"},
|
||
"position": {"line": 282, "character": 8}}
|
||
{"range":
|
||
{"start": {"line": 282, "character": 8},
|
||
"end": {"line": 282, "character": 10}},
|
||
"contents": {"value": "```lean\n_e : 1 = 0\n```", "kind": "markdown"}}
|
||
{"textDocument": {"uri": "file:///hover.lean"},
|
||
"position": {"line": 285, "character": 9}}
|
||
{"range":
|
||
{"start": {"line": 285, "character": 9},
|
||
"end": {"line": 285, "character": 10}},
|
||
"contents": {"value": "```lean\nx : ℕ\n```", "kind": "markdown"}}
|
||
{"textDocument": {"uri": "file:///hover.lean"},
|
||
"position": {"line": 290, "character": 13}}
|
||
{"range":
|
||
{"start": {"line": 290, "character": 13},
|
||
"end": {"line": 290, "character": 16}},
|
||
"contents":
|
||
{"value":
|
||
"```lean\nList.nil.{u} {α : Type u} : List α\n```\n***\nThe empty list, usually written `[]`. \n\nConventions for notations in identifiers:\n\n * The recommended spelling of `[]` in identifiers is `nil`.\n***\n*import Init.Prelude*",
|
||
"kind": "markdown"}}
|
||
{"textDocument": {"uri": "file:///hover.lean"},
|
||
"position": {"line": 292, "character": 13}}
|
||
{"range":
|
||
{"start": {"line": 292, "character": 11},
|
||
"end": {"line": 292, "character": 15}},
|
||
"contents":
|
||
{"value":
|
||
"```lean\nList.cons.{u} {α : Type u} (head : α) (tail : List α) : List α\n```\n***\nThe list whose first element is `head`, where `tail` is the rest of the list.\nUsually written `head :: tail`.\n\n\nConventions for notations in identifiers:\n\n * The recommended spelling of `::` in identifiers is `cons`.\n\n * The recommended spelling of `[a]` in identifiers is `singleton`.\n***\n*import Init.Prelude*",
|
||
"kind": "markdown"}}
|
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{"textDocument": {"uri": "file:///hover.lean"},
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"position": {"line": 294, "character": 18}}
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{"start": {"line": 294, "character": 17},
|
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"end": {"line": 294, "character": 20}},
|
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"contents":
|
||
{"value":
|
||
"```lean\nList.map.{u_1, u_2} {α : Type u_1} {β : Type u_2} (f : α → β) (l : List α) : List β\n```\n***\nApplies a function to each element of the list, returning the resulting list of values.\n\n`O(|l|)`.\n\nExamples:\n* `[a, b, c].map f = [f a, f b, f c]`\n* `[].map Nat.succ = []`\n* `[\"one\", \"two\", \"three\"].map (·.length) = [3, 3, 5]`\n* `[\"one\", \"two\", \"three\"].map (·.reverse) = [\"eno\", \"owt\", \"eerht\"]`\n\n***\n*import Init.Prelude*",
|
||
"kind": "markdown"}}
|
||
{"textDocument": {"uri": "file:///hover.lean"},
|
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"position": {"line": 297, "character": 26}}
|
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|
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{"start": {"line": 297, "character": 25},
|
||
"end": {"line": 297, "character": 29}},
|
||
"contents":
|
||
{"value":
|
||
"```lean\nList.zip.{u, v} {α : Type u} {β : Type v} : List α → List β → List (α × β)\n```\n***\nCombines two lists into a list of pairs in which the first and second components are the\ncorresponding elements of each list. The resulting list is the length of the shorter of the input\nlists.\n\n`O(min |xs| |ys|)`.\n\nExamples:\n* `[\"Mon\", \"Tue\", \"Wed\"].zip [1, 2, 3] = [(\"Mon\", 1), (\"Tue\", 2), (\"Wed\", 3)]`\n* `[\"Mon\", \"Tue\", \"Wed\"].zip [1, 2] = [(\"Mon\", 1), (\"Tue\", 2)]`\n* `[x₁, x₂, x₃].zip [y₁, y₂, y₃, y₄] = [(x₁, y₁), (x₂, y₂), (x₃, y₃)]`\n\n***\n*import Init.Data.List.Basic*",
|
||
"kind": "markdown"}}
|
||
{"textDocument": {"uri": "file:///hover.lean"},
|
||
"position": {"line": 297, "character": 19}}
|
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{"range":
|
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{"start": {"line": 297, "character": 19},
|
||
"end": {"line": 297, "character": 22}},
|
||
"contents":
|
||
{"value":
|
||
"```lean\nList.zip.{u, v} {α : Type u} {β : Type v} : List α → List β → List (α × β)\n```\n***\nCombines two lists into a list of pairs in which the first and second components are the\ncorresponding elements of each list. The resulting list is the length of the shorter of the input\nlists.\n\n`O(min |xs| |ys|)`.\n\nExamples:\n* `[\"Mon\", \"Tue\", \"Wed\"].zip [1, 2, 3] = [(\"Mon\", 1), (\"Tue\", 2), (\"Wed\", 3)]`\n* `[\"Mon\", \"Tue\", \"Wed\"].zip [1, 2] = [(\"Mon\", 1), (\"Tue\", 2)]`\n* `[x₁, x₂, x₃].zip [y₁, y₂, y₃, y₄] = [(x₁, y₁), (x₂, y₂), (x₃, y₃)]`\n\n***\n*import Init.Data.List.Basic*",
|
||
"kind": "markdown"}}
|
||
{"textDocument": {"uri": "file:///hover.lean"},
|
||
"position": {"line": 306, "character": 24}}
|
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{"range":
|
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{"start": {"line": 306, "character": 6},
|
||
"end": {"line": 306, "character": 38}},
|
||
"contents": {"value": "```lean\nBool\n```", "kind": "markdown"}}
|
||
{"textDocument": {"uri": "file:///hover.lean"},
|
||
"position": {"line": 312, "character": 10}}
|
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{"range":
|
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{"start": {"line": 312, "character": 10},
|
||
"end": {"line": 312, "character": 11}},
|
||
"contents":
|
||
{"value": "```lean\nS : Type\n```\n***\nThese are docs\n", "kind": "markdown"}}
|
||
{"textDocument": {"uri": "file:///hover.lean"},
|
||
"position": {"line": 315, "character": 2}}
|
||
{"range":
|
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{"start": {"line": 315, "character": 2}, "end": {"line": 315, "character": 4}},
|
||
"contents":
|
||
{"value": "```lean\nS.mk (x : ℕ) : S\n```\n***\nSo are these ",
|
||
"kind": "markdown"}}
|
||
{"textDocument": {"uri": "file:///hover.lean"},
|
||
"position": {"line": 318, "character": 2}}
|
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{"range":
|
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{"start": {"line": 318, "character": 2}, "end": {"line": 318, "character": 3}},
|
||
"contents":
|
||
{"value": "```lean\nS.x (self : S) : ℕ\n```\n***\nAnd these ",
|
||
"kind": "markdown"}}
|
||
{"textDocument": {"uri": "file:///hover.lean"},
|
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"position": {"line": 321, "character": 9}}
|
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{"range":
|
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{"start": {"line": 321, "character": 9},
|
||
"end": {"line": 321, "character": 10}},
|
||
"contents":
|
||
{"value": "```lean\nx : ℕ\n```\n***\nAnd these ", "kind": "markdown"}}
|
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{"textDocument": {"uri": "file:///hover.lean"},
|
||
"position": {"line": 321, "character": 18}}
|
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{"range":
|
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{"start": {"line": 321, "character": 18},
|
||
"end": {"line": 321, "character": 19}},
|
||
"contents":
|
||
{"value": "```lean\nS : Type\n```\n***\nThese are docs\n", "kind": "markdown"}}
|
||
{"textDocument": {"uri": "file:///hover.lean"},
|
||
"position": {"line": 326, "character": 10}}
|
||
{"range":
|
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{"start": {"line": 326, "character": 10},
|
||
"end": {"line": 326, "character": 12}},
|
||
"contents":
|
||
{"value": "```lean\nS' : Type\n```\n***\nDocs ", "kind": "markdown"}}
|
||
{"textDocument": {"uri": "file:///hover.lean"},
|
||
"position": {"line": 329, "character": 4}}
|
||
{"range":
|
||
{"start": {"line": 329, "character": 4}, "end": {"line": 329, "character": 6}},
|
||
"contents":
|
||
{"value": "```lean\nS'.mk (x : ℕ) : S'\n```\n***\nMore docs ",
|
||
"kind": "markdown"}}
|
||
{"textDocument": {"uri": "file:///hover.lean"},
|
||
"position": {"line": 332, "character": 9}}
|
||
{"range":
|
||
{"start": {"line": 332, "character": 8},
|
||
"end": {"line": 332, "character": 11}},
|
||
"contents":
|
||
{"value": "```lean\nS'.mk (x : ℕ) : S'\n```\n***\nMore docs ",
|
||
"kind": "markdown"}}
|
||
{"textDocument": {"uri": "file:///hover.lean"},
|
||
"position": {"line": 332, "character": 16}}
|
||
{"range":
|
||
{"start": {"line": 332, "character": 16},
|
||
"end": {"line": 332, "character": 18}},
|
||
"contents":
|
||
{"value": "```lean\nS' : Type\n```\n***\nDocs ", "kind": "markdown"}}
|
||
{"textDocument": {"uri": "file:///hover.lean"},
|
||
"position": {"line": 337, "character": 12}}
|
||
{"range":
|
||
{"start": {"line": 337, "character": 12},
|
||
"end": {"line": 337, "character": 18}},
|
||
"contents":
|
||
{"value":
|
||
"```lean\nInfSeq.{u_1} {α : Sort u_1} (r : α → α → Prop) : α → Prop\n```\n***\nAn infinite sequence ",
|
||
"kind": "markdown"}}
|
||
{"textDocument": {"uri": "file:///hover.lean"},
|
||
"position": {"line": 340, "character": 7}}
|
||
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|
||
{"start": {"line": 340, "character": 4}, "end": {"line": 340, "character": 8}},
|
||
"contents":
|
||
{"value":
|
||
"```lean\nInfSeq.step.{u_1} {α : Sort u_1} (r : α → α → Prop) {a b : α} : r a b → InfSeq r b → InfSeq r a\n```\n***\nTake a step ",
|
||
"kind": "markdown"}}
|
||
{"textDocument": {"uri": "file:///hover.lean"},
|
||
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|
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|
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|
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"end": {"line": 343, "character": 13}},
|
||
"contents":
|
||
{"value":
|
||
"```lean\nInfSeq.{u_1} {α : Sort u_1} (r : α → α → Prop) : α → Prop\n```\n***\nAn infinite sequence ",
|
||
"kind": "markdown"}}
|
||
{"textDocument": {"uri": "file:///hover.lean"},
|
||
"position": {"line": 346, "character": 7}}
|
||
{"range":
|
||
{"start": {"line": 346, "character": 7},
|
||
"end": {"line": 346, "character": 18}},
|
||
"contents":
|
||
{"value":
|
||
"```lean\nInfSeq.step.{u_1} {α : Sort u_1} (r : α → α → Prop) {a b : α} : r a b → InfSeq r b → InfSeq r a\n```\n***\nTake a step ",
|
||
"kind": "markdown"}}
|
||
{"textDocument": {"uri": "file:///hover.lean"},
|
||
"position": {"line": 354, "character": 16}}
|
||
{"range":
|
||
{"start": {"line": 354, "character": 16},
|
||
"end": {"line": 354, "character": 20}},
|
||
"contents":
|
||
{"value":
|
||
"```lean\nmap'.{u_1, u_2} {α : Type u_1} {β : Type u_2} (f : α → β) : List α → List β\n```",
|
||
"kind": "markdown"}}
|