blob: 449610be658694e13c0f3b88f8cb9d79a3a0a354 (
plain)
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
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
|
Module Type Sub.
Axiom Refl1 : forall x : nat, x = x.
Axiom Refl2 : forall x : nat, x = x.
Axiom Refl3 : forall x : nat, x = x.
Inductive T : Set :=
A : T.
End Sub.
Module Type Main.
Declare Module M: Sub.
End Main.
Module A <: Main.
Module M <: Sub.
Lemma Refl1 : forall x : nat, x = x.
intros; reflexivity.
Qed.
Axiom Refl2 : forall x : nat, x = x.
Lemma Refl3 : forall x : nat, x = x.
intros; reflexivity.
Defined.
Inductive T : Set :=
A : T.
End M.
End A.
(* first test *)
Module F (S: Sub).
Module M := S.
End F.
Module B <: Main with Module M:=A.M := F A.M.
(* second test *)
Lemma r1 : (A.M.Refl1 = B.M.Refl1).
Proof.
reflexivity.
Qed.
Lemma r2 : (A.M.Refl2 = B.M.Refl2).
Proof.
reflexivity.
Qed.
Lemma r3 : (A.M.Refl3 = B.M.Refl3).
Proof.
reflexivity.
Qed.
Lemma t : (A.M.T = B.M.T).
Proof.
reflexivity.
Qed.
Lemma a : (A.M.A = B.M.A).
Proof.
reflexivity.
Qed.
|
