blob: 9034d6a6f01748091e81849bbec97f8787d042fa (
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
|
(* Implicit on section variables *)
Set Implicit Arguments.
Unset Strict Implicit.
(* Example submitted by David Nowak *)
Section Spec.
Variable A : Set.
Variable op : forall A : Set, A -> A -> Set.
Infix "#" := op (at level 70).
Check (forall x : A, x # x).
(* Example submitted by Christine *)
Record stack : Type :=
{type : Set; elt : type; empty : type -> bool; proof : empty elt = true}.
Check
(forall (type : Set) (elt : type) (empty : type -> bool),
empty elt = true -> stack).
End Spec.
(* Example submitted by Frédéric (interesting in v8 syntax) *)
Parameter f : nat -> nat * nat.
Notation lhs := fst.
Check (fun x => fst (f x)).
Check (fun x => fst (f x)).
Notation rhs := snd.
Check (fun x => snd (f x)).
Check (fun x => @ rhs _ _ (f x)).
(* Implicit arguments in fixpoints and inductive declarations *)
Fixpoint g n := match n with O => true | S n => g n end.
Inductive P n : nat -> Prop := c : P n n.
(* Avoid evars in the computation of implicit arguments (cf r9827) *)
Require Import List.
Fixpoint plus n m {struct n} :=
match n with
| 0 => m
| S p => S (plus p m)
end.
|
