File: bug_3199.v

package info (click to toggle)
coq 8.20.1%2Bdfsg-1
  • links: PTS, VCS
  • area: main
  • in suites: sid, trixie
  • size: 44,116 kB
  • sloc: ml: 234,160; sh: 4,301; python: 3,270; ansic: 2,644; makefile: 882; lisp: 172; javascript: 63; xml: 24; sed: 2
file content (19 lines) | stat: -rw-r--r-- 449 bytes parent folder | download | duplicates (2) 
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
 
Axiom P : nat -> Prop.
Axiom admit : forall n : nat, P n -> P n -> n = S n.
Axiom foo : forall n, P n.

Create HintDb bar.
#[export] Hint Extern 3 => symmetry : bar.
#[export] Hint Resolve admit : bar.
#[export] Hint Immediate foo : bar.

Lemma qux : forall n : nat, n = S n.
Proof.
intros n.
eauto with bar.
Defined.

Goal True.
pose (e := eq_refl (qux 0)); unfold qux in e.
match type of e with context [eq_sym] => fail 1 | _ => idtac end.
Abort.