File: bug_13480.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 (25 lines) | stat: -rw-r--r-- 390 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
20
21
22
23
24
25
 
Axiom dummy : forall x : nat, x = 0.

Goal forall x : nat, x = 0.
Proof.
intros x.
replace -> x with 0.
+ apply (eq_refl 0).
+ apply (dummy x).
Qed.

Goal forall x : nat, x = 0.
Proof.
intros x.
replace <- x with 0.
+ apply (eq_refl 0).
+ symmetry; apply (dummy x).
Qed.

Goal forall x : nat, x = 0.
Proof.
intros x.
replace x with 0.
+ apply (eq_refl 0).
+ symmetry; apply (dummy x).
Qed.