f40d72ea47
This PR adds draft typeclasses for `grind` to process facts about ordered modules. These interfaces will evolve as the implementation develops.
82 lines
4 KiB
Text
82 lines
4 KiB
Text
-- This tests the `#info_trees in` command.
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-- If it proves too fragile to test the result using `#guard_msgs`,
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-- it is fine to simply remove the `#guard_msgs` and expected output.
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/--
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info: • command @ ⟨82, 0⟩-⟨82, 40⟩ @ Lean.Elab.Command.elabDeclaration
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• Nat : Type @ ⟨82, 15⟩-⟨82, 18⟩ @ Lean.Elab.Term.elabIdent
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• [.] Nat : some Sort.{?_uniq.1} @ ⟨82, 15⟩-⟨82, 18⟩
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• Nat : Type @ ⟨82, 15⟩-⟨82, 18⟩
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• n (isBinder := true) : Nat @ ⟨82, 11⟩-⟨82, 12⟩
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• 0 ≤ n : Prop @ ⟨82, 22⟩-⟨82, 27⟩ @ «_aux_Init_Notation___macroRules_term_≤__2»
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• Macro expansion
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0 ≤ n
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===>
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binrel% LE.le✝ 0 n
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• 0 ≤ n : Prop @ ⟨82, 22⟩†-⟨82, 27⟩† @ Lean.Elab.Term.Op.elabBinRel
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• 0 ≤ n : Prop @ ⟨82, 22⟩†-⟨82, 27⟩†
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• [.] LE.le✝ : none @ ⟨82, 22⟩†-⟨82, 27⟩†
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• 0 : Nat @ ⟨82, 22⟩-⟨82, 23⟩ @ Lean.Elab.Term.elabNumLit
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• n : Nat @ ⟨82, 26⟩-⟨82, 27⟩ @ Lean.Elab.Term.elabIdent
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• [.] n : none @ ⟨82, 26⟩-⟨82, 27⟩
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• n : Nat @ ⟨82, 26⟩-⟨82, 27⟩
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• CustomInfo(Lean.Elab.Term.AsyncBodyInfo)
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• t (isBinder := true) : ∀ (n : Nat), 0 ≤ n @ ⟨82, 8⟩-⟨82, 9⟩
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• n (isBinder := true) : Nat @ ⟨82, 11⟩-⟨82, 12⟩
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• CustomInfo(Lean.Elab.Term.BodyInfo)
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• Tactic @ ⟨82, 31⟩-⟨82, 40⟩
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(Term.byTactic "by" (Tactic.tacticSeq (Tactic.tacticSeq1Indented [(Tactic.exact? "exact?" [])])))
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before ⏎
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n : Nat
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⊢ 0 ≤ n
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after no goals
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• Tactic @ ⟨82, 31⟩-⟨82, 33⟩
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"by"
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before ⏎
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n : Nat
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⊢ 0 ≤ n
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after no goals
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• Tactic @ ⟨82, 34⟩-⟨82, 40⟩ @ Lean.Elab.Tactic.evalTacticSeq
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(Tactic.tacticSeq (Tactic.tacticSeq1Indented [(Tactic.exact? "exact?" [])]))
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before ⏎
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n : Nat
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⊢ 0 ≤ n
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after no goals
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• Tactic @ ⟨82, 34⟩-⟨82, 40⟩ @ Lean.Elab.Tactic.evalTacticSeq1Indented
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(Tactic.tacticSeq1Indented [(Tactic.exact? "exact?" [])])
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before ⏎
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n : Nat
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⊢ 0 ≤ n
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after no goals
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• Tactic @ ⟨82, 34⟩-⟨82, 40⟩ @ Lean.Elab.LibrarySearch.evalExact
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(Tactic.exact? "exact?" [])
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before ⏎
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n : Nat
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⊢ 0 ≤ n
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after no goals
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• Tactic @ ⟨82, 34⟩†-⟨82, 40⟩† @ Lean.Elab.Tactic.evalExact
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(Tactic.exact "exact" (Term.app `Nat.zero_le [`n]))
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before ⏎
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n : Nat
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⊢ 0 ≤ n
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after no goals
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• Nat.zero_le n : 0 ≤ n @ ⟨1, 1⟩†-⟨1, 1⟩† @ Lean.Elab.Term.elabApp
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• [.] Nat.zero_le : some LE.le.{0} Nat instLENat (OfNat.ofNat.{0} Nat 0 (instOfNatNat 0)) _uniq.42 @ ⟨1, 0⟩†-⟨1, 0⟩†
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• Nat.zero_le : ∀ (n : Nat), 0 ≤ n @ ⟨1, 0⟩†-⟨1, 0⟩†
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• n : Nat @ ⟨1, 5⟩†-⟨1, 5⟩† @ Lean.Elab.Term.elabIdent
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• [.] n : some Nat @ ⟨1, 5⟩†-⟨1, 5⟩†
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• n : Nat @ ⟨1, 5⟩†-⟨1, 5⟩†
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• CustomInfo(Lean.Meta.Tactic.TryThis.TryThisInfo)
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• UserWidget Lean.Meta.Tactic.TryThis.tryThisWidget
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{"suggestions": [{"suggestion": "exact Nat.zero_le n"}],
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"style": null,
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"range":
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{"start": {"line": 81, "character": 34}, "end": {"line": 81, "character": 40}},
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"isInline": true,
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"header": "Try this: "} • t (isBinder := true) : ∀ (n : Nat), 0 ≤ n @ ⟨82, 8⟩-⟨82, 9⟩
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---
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info: Try this: exact Nat.zero_le n
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-/
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#guard_msgs in
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#info_trees in
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theorem t (n : Nat) : 0 ≤ n := by exact?
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