File: bug_12571.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 (20 lines) | stat: -rw-r--r-- 439 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
Axiom IsTrunc : Type -> Type.

Existing Class IsTrunc.

#[export] Declare Instance trunc_forall :
  forall (A : Type) (P : A -> Type),
  IsTrunc (forall a : A, P a).

Axiom Graph : Set.
Axiom in_N : forall (n : Graph), Type.

Definition N : Type := @sigT Graph in_N.

Goal forall (P : N -> Type)
 (Q := fun m : Graph => forall mrec : in_N m, P (existT _ m mrec))
 (A : Graph), IsTrunc (Q A).
Proof.
intros.
solve [typeclasses eauto].
Qed.