File: HoTT_coq_028.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 (15 lines) | stat: -rw-r--r-- 559 bytes parent folder | download | duplicates (5)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
Goal forall (O obj : Type) (f : O -> obj) (x : O) (e : x = x)
     (T : obj -> obj -> Type) (m : forall x0 : obj, T x0 x0),
   match eq_sym e in (_ = y) return (T (f y) (f x)) with
   | eq_refl => m (f x)
   end = m (f x).
intros.
try case e.
(* Toplevel input, characters 19-25:
Error: Cannot instantiate metavariable P of type
"forall a : O, x = a -> Prop" with abstraction
"fun (x : O) (e : x = x) =>
 match eq_sym e in (_ = y) return (T (f y) (f x)) with
 | eq_refl => m (f x)
 end = m (f x)" of incompatible type "forall x : O, x = x -> Prop". *)
Abort.