X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Flib%2Farithmetics%2Flog.ma;h=6c7e159e416c0f4f1bc58bf9b5a3d501f479e7ac;hb=7cb9cdbd64e1abbedf3c6af5638c42e3da3f5cea;hp=733720ce340a3375f6b92e8fff00359d08a3ade8;hpb=29c979302cf398410bf6f10c11b146ebe42bd54a;p=helm.git diff --git a/matita/matita/lib/arithmetics/log.ma b/matita/matita/lib/arithmetics/log.ma index 733720ce3..6c7e159e4 100644 --- a/matita/matita/lib/arithmetics/log.ma +++ b/matita/matita/lib/arithmetics/log.ma @@ -10,8 +10,8 @@ V_______________________________________________________________ *) include "arithmetics/exp.ma". -include "arithmetics/minimization.ma". include "arithmetics/div_and_mod.ma". +include "arithmetics/minimization.ma". definition log ≝ λp,n. max n (λx.leb (exp p x) n). @@ -140,7 +140,7 @@ theorem log_exp: ∀p,n,m. 1 < p → O < m → |#i #Hi #Hm @lt_to_leb_false @(lt_to_le_to_lt ? ((exp p n)*(exp p (S(log p m))))) [@monotonic_lt_times_r [@lt_O_exp @lt_to_le // |@lt_exp_log //] - |