X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Flib%2Farithmetics%2Fgcd.ma;h=1490a626e336db7cc42c65f804e9e3b66b15e078;hb=81cf2dd18ed76a214ab610447d0c5861998b3d96;hp=104b598626cd73e3dc3d43c56c5eed86e3fed2ae;hpb=7ad16d18416a08382d62747fce4a0ac18ee557e0;p=helm.git diff --git a/matita/matita/lib/arithmetics/gcd.ma b/matita/matita/lib/arithmetics/gcd.ma index 104b59862..1490a626e 100644 --- a/matita/matita/lib/arithmetics/gcd.ma +++ b/matita/matita/lib/arithmetics/gcd.ma @@ -54,7 +54,7 @@ qed. lemma divides_to_gcd_aux: ∀p,m,n. O < p → O < n →n ∣ m → gcd_aux p m n = n. -#p #m #n #posp @(lt_O_n_elim … posp) #l #posn #divnm normalize +#p #m #n #posp @(lt_O_n_elim … posp) #l #posn #divnm whd in ⊢ (??%?) >divides_to_dividesb_true normalize // qed. @@ -69,7 +69,7 @@ qed. lemma not_divides_to_gcd_aux: ∀p,m,n. 0 < n → n ∤ m → gcd_aux (S p) m n = gcd_aux p n (m \mod n). -#p #m #n #lenm #divnm normalize >not_divides_to_dividesb_false +#p #m #n #lenm #divnm whd in ⊢ (??%?) >not_divides_to_dividesb_false normalize // qed. theorem divides_gcd_aux_mn: ∀p,m,n. O < n → n ≤ m → n ≤ p →