File: Nat.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 (19 lines) | stat: -rw-r--r-- 315 bytes parent folder | download 
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
 
Definition T := nat.

Definition le := le.

Hint Unfold le.

Lemma le_refl : forall n : nat, le n n.
  auto.
Qed.

Require Import Le.

Lemma le_trans : forall n m k : nat, le n m -> le m k -> le n k.
   eauto with arith.
Qed.

Lemma le_antis : forall n m : nat, le n m -> le m n -> n = m.
   eauto with arith.
Qed.