lean4-htt/tests/lean/run/1163.lean
2024-06-06 00:28:42 +00:00

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import Lean
open Lean Elab Tactic
macro "obviously1" : tactic => `(tactic| exact sorryAx _)
theorem result1 : False := by obviously1
elab "obviously2" : tactic =>
liftMetaTactic1 fun mvarId => mvarId.admit *> pure none
theorem result2 : False := by obviously2
/--
error: failed to synthesize
OfNat Bool 0
numerals are polymorphic in Lean, but the numeral `0` cannot be used in a context where the expected type is
Bool
due to the absence of the instance above
use `set_option diagnostics true` to get diagnostic information
-/
#guard_msgs in
def x : Bool := 0
theorem result3 : False := by obviously2
/--
error: failed to synthesize
OfNat Bool 0
numerals are polymorphic in Lean, but the numeral `0` cannot be used in a context where the expected type is
Bool
due to the absence of the instance above
use `set_option diagnostics true` to get diagnostic information
-/
#guard_msgs in
theorem result4 : False := by -- Does not generate a `sorry` warning because there is an error
let x : Bool := 0
obviously2