File: Tescik.v

package info (click to toggle)
coq 8.9.0-1
  • links: PTS, VCS
  • area: main
  • in suites: buster
  • size: 30,604 kB
  • sloc: ml: 192,230; sh: 2,585; python: 2,206; ansic: 1,878; makefile: 818; lisp: 202; xml: 24; sed: 2
file content (30 lines) | stat: -rw-r--r-- 568 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
 

Module Type ELEM.
  Parameter A : Set.
  Parameter x : A.
End ELEM.

Module Nat.
    Definition A := nat.
    Definition x := 0.
End Nat.

Module List (X: ELEM).
  Inductive list : Set :=
    | nil : list
    | cons : X.A -> list -> list.

  Definition head (l : list) := match l with
                                | nil => X.x
                                | cons x _ => x
                                end.

  Definition singl (x : X.A) := cons x nil.

  Lemma head_singl : forall x : X.A, head (singl x) = x.
  auto.
  Qed.

End List.

Module N := List Nat.