X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fnlibrary%2Ftopology%2Figft.ma;h=d6043fba2c1d413fc22626fd567e18dbc34c5779;hb=456a157eba1428fd4ec02713e60ac2b653a0e0b0;hp=3c0ba7090406c43aef3f0cbd8df79d2143efd902;hpb=89e21dbecca75a5320f50ecb53a39699f8ace8f1;p=helm.git diff --git a/helm/software/matita/nlibrary/topology/igft.ma b/helm/software/matita/nlibrary/topology/igft.ma index 3c0ba7090..d6043fba2 100644 --- a/helm/software/matita/nlibrary/topology/igft.ma +++ b/helm/software/matita/nlibrary/topology/igft.ma @@ -153,7 +153,7 @@ is a peculiarity of Matita (for example in CIC as implemented by Coq they are th same). The additional restriction of not allowing the elimination of a CProp toward a Type makes the theory of Matita minimal in the following sense: - + Theorems proved in CIC as implemented in Matita can be reused in a classical and impredicative framework (i.e. forcing Matita to collapse the hierarchy of @@ -1168,15 +1168,7 @@ We now proceed with the proof of the infinity rule. D*) - -alias symbol "exists" (instance 1) = "exists". -alias symbol "covers" = "new covers set". -alias symbol "covers" = "new covers". -alias symbol "covers" = "new covers set". -alias symbol "covers" = "new covers". -alias symbol "covers" = "new covers set". -alias symbol "covers" = "new covers". -alias symbol "covers" = "new covers set". +alias symbol "covers" (instance 3) = "new covers set". ntheorem new_coverage_infinity: ∀A:nAx.∀U:Ω^A.∀a:A. (∃i:𝐈 a. 𝐈𝐦[𝐝 a i] ◃ U) → a ◃ U. #A; #U; #a; (** screenshot "n-cov-inf-1". *)