X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fnlibrary%2Ftopology%2Fcantor.ma;h=6ae8d36ad299078b76670460b6b3a0a16016faf3;hb=68bcb81d3d91255eacd5ae4c19c755d41e8440cf;hp=b8f8a5543ad57e8cf24ea8ee2f169e63ac94c0aa;hpb=ab72456f3d53035e6942f1cafa225d6759acf655;p=helm.git diff --git a/helm/software/matita/nlibrary/topology/cantor.ma b/helm/software/matita/nlibrary/topology/cantor.ma index b8f8a5543..6ae8d36ad 100644 --- a/helm/software/matita/nlibrary/topology/cantor.ma +++ b/helm/software/matita/nlibrary/topology/cantor.ma @@ -28,6 +28,7 @@ interpretation "empty" 'empty = (emptyset ?). naxiom EM : ∀A:Ax.∀a:A.∀i_star.(a ∈ 𝐂 a i_star) ∨ ¬( a ∈ 𝐂 a i_star). +alias symbol "covers" = "covers". ntheorem th2_3 : ∀A:Ax.∀a:A. a ◃ ∅ → ∃i. ¬ a ∈ 𝐂 a i. #A; #a; #H; nelim H; @@ -130,6 +131,7 @@ naxiom h : nat → nat. alias symbol "eq" = "leibnitz's equality". alias symbol "eq" = "setoid1 eq". alias symbol "covers" = "covers". +alias symbol "eq" = "leibnitz's equality". naxiom Ph : ∀x.h x = O \liff x ◃ ∅. nlemma replace_char: