File: bug_1542.v

package info (click to toggle)
coq 9.1.0%2Bdfsg-3
  • links: PTS, VCS
  • area: main
  • in suites: experimental
  • size: 35,964 kB
  • sloc: ml: 239,908; sh: 4,355; python: 2,985; ansic: 2,644; makefile: 874; lisp: 171; javascript: 63; xml: 24; sed: 2
file content (42 lines) | stat: -rw-r--r-- 803 bytes parent folder | download | duplicates (6)
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
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
Module Type TITI.
Parameter B:Set.
Parameter x:B.
Inductive A:Set:=
a1:B->A.
Definition f2: A ->B
:= fun (a:A) =>
match a with
 (a1 b)=>b
end.
Definition f: A -> B:=fun (a:A) => x.
End TITI.


Module Type TIT.
Declare Module t:TITI.
End TIT.

Module Seq(titi:TIT).
Module t:=titi.t.
Inductive toto:t.A->t.B->Set:=
t1:forall (a:t.A), (toto a (t.f a))
| t2:forall (a:t.A), (toto a (t.f2 a)).
End Seq.

Module koko(tit:TIT).
Module seq:=Seq tit.
Module t':=tit.t.

Definition def:forall (a:t'.A), (seq.toto a (t'.f a)).
intro ; constructor 1.
Defined.

Definition def2: forall (a:t'.A), (seq.toto a (t'.f2 a)).
intro; constructor 2.
(*  Toplevel input, characters 0-13
  constructor 2.
  ^^^^^^^^^^^^^
Error: Impossible to unify (seq.toto ?3 (seq.t.f2 ?3)) with
 (seq.toto a (t'.f2 a)).*)
Abort.
End koko.