From: Andrea Asperti Date: Wed, 15 Nov 2006 09:09:02 +0000 (+0000) Subject: lt_O_S moved to nat/orders.ma X-Git-Tag: 0.4.95@7852~809 X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=commitdiff_plain;h=dccfee15d96938072fbdf4004a06e5b59ba876dc;hp=57e4568829db52f1959006041d72036ae9663955;p=helm.git lt_O_S moved to nat/orders.ma --- diff --git a/matita/library/algebra/finite_groups.ma b/matita/library/algebra/finite_groups.ma index 64c65b266..79521e206 100644 --- a/matita/library/algebra/finite_groups.ma +++ b/matita/library/algebra/finite_groups.ma @@ -181,12 +181,13 @@ unfold lt in H; apply (le_S_S ? ? H). qed. +(* moved to nat/order.ma theorem lt_O_S: ∀n. O < S n. intro; unfold lt; apply le_S_S; apply le_O_n. -qed. +qed. *) theorem le_n_m_to_lt_m_Sn_to_eq_n_m: ∀n,m. n ≤ m → m < S n → n=m. intros;