X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Flib%2Farithmetics%2Ffactorial.ma;h=d2c716d70f5409c97ae2a1d3270799443fde62cf;hb=ddc80515997a3f56085c6234d4db326141e189aa;hp=fc7b7deeed5339c1a6e85dcc30c1911a26cb0213;hpb=fc7af5f9ea2cd4a876b8babc6b691136799e3c87;p=helm.git diff --git a/matita/matita/lib/arithmetics/factorial.ma b/matita/matita/lib/arithmetics/factorial.ma index fc7b7deee..d2c716d70 100644 --- a/matita/matita/lib/arithmetics/factorial.ma +++ b/matita/matita/lib/arithmetics/factorial.ma @@ -55,8 +55,8 @@ theorem fact_to_exp1: ∀n.OH //] #H1 >H1 @(le_to_lt_to_lt ? (2^(2*n)*n!*n!*(2*(S n))*(2*(S n)))) - [normalize in match ((S n)!) generalize in match (S n) #Sn - generalize in match 2 #two // + [normalize {match ((S n)!)} generalize {match (S n)} #Sn + generalize {match 2} #two // |cut ((S(2*(S n)))! = (S(2*n))!*(S(S(2*n)))*(S(S(S(2*n))))) [>H //] #H2 >H2 @lt_to_le_to_lt_times [@lt_to_le_to_lt_times //|>H // | //]