X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fground%2Farith%2Fnat_lt.ma;h=388c8aace268d6a2e7d8c7658d618ff0918ce091;hp=f7a868b534a17de122ff7aa4f6a4f4b49a667bcd;hb=ccf5878f2a2ec7f952f140e162391708a740517b;hpb=5e72e41f4f86814e56d4b00959ccc56c71042a4c diff --git a/matita/matita/contribs/lambdadelta/ground/arith/nat_lt.ma b/matita/matita/contribs/lambdadelta/ground/arith/nat_lt.ma index f7a868b53..388c8aace 100644 --- a/matita/matita/contribs/lambdadelta/ground/arith/nat_lt.ma +++ b/matita/matita/contribs/lambdadelta/ground/arith/nat_lt.ma @@ -36,6 +36,9 @@ lemma nlt_refl_succ (n): n < ↑n. lemma nlt_zero_succ (m): 𝟎 < ↑m. /2 width=1 by nle_succ_bi/ qed. +lemma nlt_succ_bi (m) (n): m < n → ↑m < ↑n. +/2 width=1 by nle_succ_bi/ qed. + (*** le_to_or_lt_eq *) lemma nle_lt_eq_e (m) (n): m ≤ n → ∨∨ m < n | m = n. #m #n * -n /3 width=1 by nle_succ_bi, or_introl/