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{"rendered": "```lean\nα : Sort ?u\n⊢ α → α\n```",
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{"rendered": "```lean\nα : Sort ?u\n⊢ α → α\n```",
 "goals": ["α : Sort ?u\n⊢ α → α"]}
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{"rendered": "```lean\nα : Sort ?u\n⊢ α → α\n```",
 "goals": ["α : Sort ?u\n⊢ α → α"]}
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{"rendered": "```lean\nα : Sort ?u\na : α\n⊢ α\n```",
 "goals": ["α : Sort ?u\na : α\n⊢ α"]}
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{"rendered": "```lean\nα : Sort ?u\na : α\n⊢ α\n```",
 "goals": ["α : Sort ?u\na : α\n⊢ α"]}
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{"rendered": "```lean\nα : Sort ?u\n⊢ α → α\n```",
 "goals": ["α : Sort ?u\n⊢ α → α"]}
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{"rendered": "```lean\ncase zero\n⊢ 0 + 0 = 0\n```",
 "goals": ["case zero\n⊢ 0 + 0 = 0"]}
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{"rendered":
 "```lean\ncase succ\nn✝ : Nat\na✝ : 0 + n✝ = n✝\n⊢ 0 + (n✝ + 1) = n✝ + 1\n```",
 "goals": ["case succ\nn✝ : Nat\na✝ : 0 + n✝ = n✝\n⊢ 0 + (n✝ + 1) = n✝ + 1"]}
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{"rendered": "```lean\nα : Sort ?u\na : α\n⊢ α\n```",
 "goals": ["α : Sort ?u\na : α\n⊢ α"]}
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{"rendered": "```lean\nα : Sort ?u\na : α\n⊢ α\n```",
 "goals": ["α : Sort ?u\na : α\n⊢ α"]}
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{"rendered": "```lean\nα : Sort ?u\na : α\n⊢ α\n```",
 "goals": ["α : Sort ?u\na : α\n⊢ α"]}
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{"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"]}
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{"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"]}
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{"rendered": "```lean\ncase zero\n⊢ 0 + 0 = 0\n```",
 "goals": ["case zero\n⊢ 0 + 0 = 0"]}
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{"rendered":
 "```lean\ncase zero\n⊢ 0 + 0 = 0\n```\n---\n```lean\ncase succ\nn✝ : Nat\na✝ : 0 + n✝ = n✝\n⊢ 0 + (n✝ + 1) = n✝ + 1\n```",
 "goals":
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  "case succ\nn✝ : Nat\na✝ : 0 + n✝ = n✝\n⊢ 0 + (n✝ + 1) = n✝ + 1"]}
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{"rendered":
 "```lean\ncase zero\n⊢ 0 + 0 = 0\n```\n---\n```lean\ncase succ\nn✝ : Nat\n⊢ 0 + (n✝ + 1) = n✝ + 1\n```",
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{"rendered": "```lean\na : Nat\n⊢ ∀ (b : Nat), a = b\n```",
 "goals": ["a : Nat\n⊢ ∀ (b : Nat), a = b"]}
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{"rendered": "```lean\na b : Nat\n⊢ a = b\n```",
 "goals": ["a b : Nat\n⊢ a = b"]}
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{"rendered": "```lean\nα : Sort ?u\n⊢ α → α\n```",
 "goals": ["α : Sort ?u\n⊢ α → α"]}
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{"rendered":
 "```lean\nα : Sort u_1\np : α → Prop\na b : α\ninst✝ : DecidablePred p\nh : ∀ {p : α → Prop} [DecidablePred p], p a → p b\n⊢ p a\n```",
 "goals":
 ["α : Sort u_1\np : α → Prop\na b : α\ninst✝ : DecidablePred p\nh : ∀ {p : α → Prop} [DecidablePred p], p a → p b\n⊢ p a"]}
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{"rendered": "```lean\ncase left\n⊢ True\n```", "goals": ["case left\n⊢ True"]}
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{"rendered": "```lean\ncase right\n⊢ False\n```",
 "goals": ["case right\n⊢ False"]}
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{"rendered": "```lean\ncase left\n⊢ True\n```", "goals": ["case left\n⊢ True"]}
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{"rendered": "```lean\ncase right\n⊢ False\n```",
 "goals": ["case right\n⊢ False"]}
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{"rendered":
 "```lean\nt a n✝ : Nat\na✝ : t * (a + n✝) = t * a + t * n✝\n⊢ t * (a + n✝) + t = t * a + t * (n✝ + 1)\n```\n---\n```lean\nt a n✝ : Nat\na✝ : t * (a + n✝) = t * a + t * n✝\n⊢ t * (a + n✝) + t = t * a + (t * n✝ + t)\n```\n---\n```lean\nt a n✝ : Nat\na✝ : t * (a + n✝) = t * a + t * n✝\n⊢ t * (a + n✝) + t = t * a + (t * n✝ + t)\n```",
 "goals":
 ["t a n✝ : Nat\na✝ : t * (a + n✝) = t * a + t * n✝\n⊢ t * (a + n✝) + t = t * a + t * (n✝ + 1)",
  "t a n✝ : Nat\na✝ : t * (a + n✝) = t * a + t * n✝\n⊢ t * (a + n✝) + t = t * a + (t * n✝ + t)",
  "t a n✝ : Nat\na✝ : t * (a + n✝) = t * a + t * n✝\n⊢ t * (a + n✝) + t = t * a + (t * n✝ + t)"]}
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{"rendered":
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 "goals":
 ["case nil\nα : Type u_1\nbs cs : List α\n⊢ [] ++ bs ++ cs = [] ++ (bs ++ cs)"]}
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{"rendered":
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 "goals":
 ["case nil\nα : Type u_1\nbs cs : List α\n⊢ [] ++ bs ++ cs = [] ++ (bs ++ cs)"]}
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{"rendered":
 "```lean\ncase left\n⊢ True\n```\n---\n```lean\ncase right\n⊢ False\n```",
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{"rendered": "```lean\n| True = True\n```", "goals": ["| True = True"]}
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{"rendered": "```lean\n| True = True\n```", "goals": ["| True = True"]}
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{"rendered": "no goals", "goals": []}
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{"rendered": "```lean\nthis : True\n⊢ True\n```",
 "goals": ["this : True\n⊢ True"]}
{"textDocument": {"uri": "file:///plainGoal.lean"},
 "position": {"line": 109, "character": 2}}
{"rendered": "```lean\nthis : True\n⊢ True\n```",
 "goals": ["this : True\n⊢ True"]}
{"textDocument": {"uri": "file:///plainGoal.lean"},
 "position": {"line": 114, "character": 4}}
{"rendered": "```lean\nthis : True\n⊢ True\n```",
 "goals": ["this : True\n⊢ True"]}
{"textDocument": {"uri": "file:///plainGoal.lean"},
 "position": {"line": 116, "character": 2}}
{"rendered": "```lean\nthis : True\n⊢ True\n```",
 "goals": ["this : True\n⊢ True"]}
{"textDocument": {"uri": "file:///plainGoal.lean"},
 "position": {"line": 120, "character": 2}}
{"rendered": "```lean\n⊢ False\n```", "goals": ["⊢ False"]}
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{"rendered": "```lean\np q : Prop\nhp : p\nhq : q\nthis : q ∧ p\n⊢ p ∧ q\n```",
 "goals": ["p q : Prop\nhp : p\nhq : q\nthis : q ∧ p\n⊢ p ∧ q"]}
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 "position": {"line": 128, "character": 18}}
{"rendered": "```lean\np q : Prop\nhp : p\nhq : q\n⊢ id (p ∧ q)\n```",
 "goals": ["p q : Prop\nhp : p\nhq : q\n⊢ id (p ∧ q)"]}
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{"rendered": "```lean\ncase left\n⊢ True\n```", "goals": ["case left\n⊢ True"]}
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{"rendered": "```lean\ncase left\n⊢ True\n```", "goals": ["case left\n⊢ True"]}
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{"rendered":
 "```lean\ncase zero\n⊢ True\n```\n---\n```lean\ncase succ\nn✝ : Nat\na✝ : True\n⊢ True\n```",
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{"rendered":
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 "goals": ["case zero\n⊢ True", "case succ\nn✝ : Nat\na✝ : True\n⊢ True"]}
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{"rendered": "```lean\nx✝ : Nat\n⊢ True\n```", "goals": ["x✝ : Nat\n⊢ True"]}
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{"rendered":
 "```lean\nf : Nat → Nat\nn : Nat\nhf : ∀ (x : Nat), f x = x + 0 + 1\n⊢ f n + 0 = 1 + n\n```",
 "goals":
 ["f : Nat → Nat\nn : Nat\nhf : ∀ (x : Nat), f x = x + 0 + 1\n⊢ f n + 0 = 1 + n"]}
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{"rendered":
 "```lean\nf : Nat → Nat\nn : Nat\nhf : ∀ (x : Nat), f x = x + 0 + 1\n⊢ f n = n + 1\n```",
 "goals":
 ["f : Nat → Nat\nn : Nat\nhf : ∀ (x : Nat), f x = x + 0 + 1\n⊢ f n = n + 1"]}
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{"rendered":
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 "goals":
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