{"textDocument": {"uri": "file://plainGoal.lean"}, "position": {"line": 0, "character": 20}} {"rendered": "```lean\nα : Sort ?u\n⊢ α → α\n```", "goals": ["α : Sort ?u\n⊢ α → α"]} {"textDocument": {"uri": "file://plainGoal.lean"}, "position": {"line": 0, "character": 21}} {"rendered": "```lean\nα : Sort ?u\n⊢ α → α\n```", "goals": ["α : Sort ?u\n⊢ α → α"]} {"textDocument": {"uri": "file://plainGoal.lean"}, "position": {"line": 3, "character": 2}} {"rendered": "```lean\nα : Sort ?u\n⊢ α → α\n```", "goals": ["α : Sort ?u\n⊢ α → α"]} {"textDocument": {"uri": "file://plainGoal.lean"}, "position": {"line": 3, "character": 3}} {"rendered": "```lean\nα : Sort ?u\na : α\n⊢ α\n```", "goals": ["α : Sort ?u\na : α\n⊢ α"]} {"textDocument": {"uri": "file://plainGoal.lean"}, "position": {"line": 7, "character": 3}} {"rendered": "```lean\nα : Sort ?u\na : α\n⊢ α\n```", "goals": ["α : Sort ?u\na : α\n⊢ α"]} {"textDocument": {"uri": "file://plainGoal.lean"}, "position": {"line": 10, "character": 20}} {"rendered": "```lean\nα : Sort ?u\n⊢ α → α\n```", "goals": ["α : Sort ?u\n⊢ α → α"]} {"textDocument": {"uri": "file://plainGoal.lean"}, "position": {"line": 15, "character": 9}} {"rendered": "```lean\ncase zero\n⊢ 0 + Nat.zero = Nat.zero\n```", "goals": ["case zero\n⊢ 0 + Nat.zero = Nat.zero"]} {"textDocument": {"uri": "file://plainGoal.lean"}, "position": {"line": 17, "character": 5}} {"rendered": "```lean\ncase succ\nn✝ : Nat\nn_ih✝ : 0 + n✝ = n✝\n⊢ 0 + Nat.succ n✝ = Nat.succ n✝\n```", "goals": ["case succ\nn✝ : Nat\nn_ih✝ : 0 + n✝ = n✝\n⊢ 0 + Nat.succ n✝ = Nat.succ n✝"]} {"textDocument": {"uri": "file://plainGoal.lean"}, "position": {"line": 21, "character": 9}} {"rendered": "```lean\nα : Sort ?u\na : α\n⊢ α\n```", "goals": ["α : Sort ?u\na : α\n⊢ α"]} {"textDocument": {"uri": "file://plainGoal.lean"}, "position": {"line": 25, "character": 3}} {"rendered": "```lean\nn m : Nat\nh1 : n = m\nh2 : m = 0\n⊢ 0 = n\n```", "goals": ["n m : Nat\nh1 : n = m\nh2 : m = 0\n⊢ 0 = n"]} {"textDocument": {"uri": "file://plainGoal.lean"}, "position": {"line": 25, "character": 9}} {"rendered": "```lean\nn m : Nat\nh1 : n = m\nh2 : m = 0\n⊢ 0 = m\n```", "goals": ["n m : Nat\nh1 : n = m\nh2 : m = 0\n⊢ 0 = m"]} {"textDocument": {"uri": "file://plainGoal.lean"}, "position": {"line": 25, "character": 13}} {"rendered": "no goals", "goals": []} {"textDocument": {"uri": "file://plainGoal.lean"}, "position": {"line": 32, "character": 3}} {"rendered": "```lean\ncase zero\n⊢ 0 + Nat.zero = Nat.zero\n```", "goals": ["case zero\n⊢ 0 + Nat.zero = Nat.zero"]} {"textDocument": {"uri": "file://plainGoal.lean"}, "position": {"line": 38, "character": 3}} {"rendered": "```lean\nn : Nat\n⊢ 0 + n = n\n```", "goals": ["n : Nat\n⊢ 0 + n = n"]} {"textDocument": {"uri": "file://plainGoal.lean"}, "position": {"line": 42, "character": 3}} {"rendered": "```lean\nn : Nat\n⊢ 0 + n = n\n```", "goals": ["n : Nat\n⊢ 0 + n = n"]} {"textDocument": {"uri": "file://plainGoal.lean"}, "position": {"line": 46, "character": 3}} {"rendered": "```lean\na b : Nat\n⊢ a = b\n```", "goals": ["a b : Nat\n⊢ a = b"]} {"textDocument": {"uri": "file://plainGoal.lean"}, "position": {"line": 49, "character": 20}} {"rendered": "```lean\nα : Sort ?u\n⊢ α → α\n```", "goals": ["α : Sort ?u\n⊢ α → α"]} {"textDocument": {"uri": "file://plainGoal.lean"}, "position": {"line": 53, "character": 3}} {"rendered": "```lean\nα : Sort ?u\np : α → Prop\na b : α\ninst✝ : DecidablePred p\nh : ∀ {p : α → Prop} [inst : DecidablePred p], p a → p b\n⊢ p a\n```", "goals": ["α : Sort ?u\np : α → Prop\na b : α\ninst✝ : DecidablePred p\nh : ∀ {p : α → Prop} [inst : DecidablePred p], p a → p b\n⊢ p a"]} {"textDocument": {"uri": "file://plainGoal.lean"}, "position": {"line": 59, "character": 3}} {"rendered": "```lean\ncase left\n⊢ True\n```", "goals": ["case left\n⊢ True"]} {"textDocument": {"uri": "file://plainGoal.lean"}, "position": {"line": 61, "character": 3}} {"rendered": "```lean\ncase right\n⊢ False\n```", "goals": ["case right\n⊢ False"]} {"textDocument": {"uri": "file://plainGoal.lean"}, "position": {"line": 66, "character": 3}} {"rendered": "```lean\ncase left\n⊢ True\n```", "goals": ["case left\n⊢ True"]} {"textDocument": {"uri": "file://plainGoal.lean"}, "position": {"line": 68, "character": 3}} {"rendered": "```lean\ncase right\n⊢ False\n```", "goals": ["case right\n⊢ False"]}