From 91705f785e2de8848d1b807e06651e14ba44c618 Mon Sep 17 00:00:00 2001 From: Cristian Armentano Date: Mon, 17 Sep 2007 22:42:30 +0000 Subject: [PATCH] temporary changes, before the complete cancellation of the file. --- matita/library/nat/propr_div_mod_lt_le_totient1_aux.ma | 5 +++-- 1 file changed, 3 insertions(+), 2 deletions(-) diff --git a/matita/library/nat/propr_div_mod_lt_le_totient1_aux.ma b/matita/library/nat/propr_div_mod_lt_le_totient1_aux.ma index 7a68a5bd8..f26f0ea00 100644 --- a/matita/library/nat/propr_div_mod_lt_le_totient1_aux.ma +++ b/matita/library/nat/propr_div_mod_lt_le_totient1_aux.ma @@ -24,7 +24,7 @@ include "nat/iteration2.ma". *) (* some basic properties of and - or*) -theorem andb_sym: \forall A,B:bool. +(*theorem andb_sym: \forall A,B:bool. (A \land B) = (B \land A). intros. elim A; @@ -60,7 +60,7 @@ rewrite > H1. rewrite > H2. reflexivity. qed. - +*) (*properties about relational operators*) theorem Sa_le_b_to_O_lt_b: \forall a,b:nat. @@ -70,6 +70,7 @@ elim H; apply lt_O_S. qed. + theorem n_gt_Uno_to_O_lt_pred_n: \forall n:nat. (S O) \lt n \to O \lt (pred n). intros. -- 2.39.2