X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Flibrary%2Fnat%2Ffactorization.ma;h=85351c06d47ac9b63e5d4a94964d7d6e56f97a9c;hb=06a089726af079d5b2fe42ba78632565dad0eb3e;hp=d0036e4a1fcc147add9d888f359ee80c090ccb09;hpb=94983be5804a0ecbd14b43fe3b7475443bc8c804;p=helm.git diff --git a/matita/library/nat/factorization.ma b/matita/library/nat/factorization.ma index d0036e4a1..85351c06d 100644 --- a/matita/library/nat/factorization.ma +++ b/matita/library/nat/factorization.ma @@ -52,7 +52,7 @@ intros; apply divides_b_true_to_divides; apply (trans_lt ? (S O)); [ unfold lt; apply le_n; | assumption; ] *) ] ] - | letin x \def prime. auto new. + | auto. (* apply prime_to_nth_prime; apply prime_smallest_factor_n; @@ -70,8 +70,8 @@ apply divides_to_divides_b_true. cut (prime (nth_prime (max_prime_factor n))). apply lt_O_nth_prime_n.apply prime_nth_prime. cut (nth_prime (max_prime_factor n) \divides n). -auto new. -auto new. +auto. +auto. (* [ apply (transitive_divides ? n); [ apply divides_max_prime_factor_n.