X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fnlibrary%2Ftopology%2Fcantor.ma;h=6a79dd2d808df2478f6a4ad25568e41e1eb68894;hb=e880d6eab5e1700f4a625ddcd7d0fa8f0cce2dcc;hp=fd300462e918aeecc8add2b9b358a81614a278cf;hpb=60c92de1ace192d20b818bd71ec420d74e0176d2;p=helm.git diff --git a/helm/software/matita/nlibrary/topology/cantor.ma b/helm/software/matita/nlibrary/topology/cantor.ma index fd300462e..6a79dd2d8 100644 --- a/helm/software/matita/nlibrary/topology/cantor.ma +++ b/helm/software/matita/nlibrary/topology/cantor.ma @@ -41,7 +41,7 @@ ntheorem th2_3 : ∀A:Ax.∀a:A. a ◃ ∅ → ∃i. ¬ a ∈ 𝐂 a i. #A; #a; #H; nelim H; ##[ #n; *; -##| #b; #i_star; #IH1; #IH2; ncases (EM … b i_star); /2/; +##| #b; #i_star; #IH1; #IH2; ncases (EM … b i_star); /3/; ##] nqed. @@ -78,7 +78,7 @@ alias id "S" = "cic:/matita/ng/topology/igft/S.fix(0,0,1)". unification hint 0 ≔ ; x ≟ axs (* -------------- *) ⊢ - S x ≡ A. + S (uax x) ≡ A. (* XXX: bug coercions/ disamb multipasso che ne fa 1 solo*) ntheorem col2_4 : ∀A:uAx.∀a:uax A. a ◃ ∅ → ¬ a ∈ 𝐂 a one. @@ -88,7 +88,8 @@ ntheorem col2_4 : ##] nqed. -ndefinition Z : Ω^axs ≝ { x | x ◃ ∅ }. +(* bug interpretazione non aggiunta per ∅ *) +ndefinition Z : Ω^axs ≝ { x | x ◃ (emptyset ?) }. ntheorem cover_monotone: ∀A:Ax.∀a:A.∀U,V.U ⊆ V → a ◃ U → a ◃ V. #A; #a; #U; #V; #HUV; #H; nelim H; /3/; @@ -126,7 +127,7 @@ alias id "S" = "cic:/matita/ng/topology/igft/S.fix(0,0,1)". unification hint 0 ≔ ; x ≟ caxs (* -------------- *) ⊢ - S x ≡ nat. + S (uax x) ≡ nat. naxiom h : nat → nat.