lean4-htt/tests/lean/run/4405.lean
2024-06-11 00:16:19 +00:00

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Text

import Lean.Elab.Command
/--
error: application type mismatch
⟨Nat.lt_irrefl ↑(?m.58 n), Fin.is_lt (?m.58 n)⟩
argument
Fin.is_lt (?m.58 n)
has type
↑(?m.58 n) < ?m.57 n : Prop
but is expected to have type
↑(?m.58 n) < ↑(?m.58 n) : Prop
-/
#guard_msgs in
def foo := fun n => (not_and_self_iff _).mp ⟨Nat.lt_irrefl _, Fin.is_lt _⟩
/--
error: type mismatch
Fin.is_lt ?m.185
has type
↑?m.185 < ?m.184 : Prop
but is expected to have type
?a < ?a : Prop
---
error: unsolved goals
case a
⊢ Nat
this : ?a < ?a
⊢ True
-/
#guard_msgs in
def test : True := by
have : ((?a : Nat) < ?a : Prop) := by
refine Fin.is_lt ?_
done
done
open Lean Meta
/--
info: Defeq?: false
---
info: fun x_0 x_1 => x_1
-/
#guard_msgs in
run_meta do
let mvarIdNat ← mkFreshExprMVar (.some (.const ``Nat []))
let mvarIdFin ← mkFreshExprMVar (.some (.app (.const `Fin []) mvarIdNat))
-- mvarIdNat.assign (.app (.const ``Fin.val []) mvaridFin))
let b ← isDefEq mvarIdNat (mkApp2 (.const ``Fin.val []) mvarIdNat mvarIdFin)
logInfo m!"Defeq?: {b}" -- prints true
-- Now mvaridNat occurs in its own type
-- This will stack overflow
let r ← abstractMVars mvarIdFin (levels := false)
logInfo m!"{r.expr}"