From: Claudio Sacerdoti Coen Date: Thu, 30 Jul 2009 12:36:46 +0000 (+0000) Subject: More napply \ldots => napply X-Git-Tag: make_still_working~3589 X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=commitdiff_plain;h=96881c08dcd617524621fb2f241fe38da81f2083;p=helm.git More napply \ldots => napply --- diff --git a/helm/software/matita/nlibrary/sets/setoids.ma b/helm/software/matita/nlibrary/sets/setoids.ma index 40982a660..0f192e5f8 100644 --- a/helm/software/matita/nlibrary/sets/setoids.ma +++ b/helm/software/matita/nlibrary/sets/setoids.ma @@ -24,7 +24,7 @@ nrecord setoid : Type[1] ≝ }. ndefinition proofs: CProp → setoid. -#P; napply (mk_setoid …); +#P; napply mk_setoid; ##[ napply P; ##| #x; #y; napply True; ##|##*: nwhd; nrepeat (#_); napply I; @@ -39,11 +39,11 @@ nrecord function_space (A,B: setoid): Type ≝ notation "hbox(a break ⇒ b)" right associative with precedence 20 for @{ 'Imply $a $b }. ndefinition function_space_setoid: setoid → setoid → setoid. - #A; #B; napply (mk_setoid …); + #A; #B; napply mk_setoid; ##[ napply (function_space A B); ##| #f; #f1; napply (∀a:A. proofs (eq … (f a) (f1 a))); ##| nwhd; #x; #a; - napply (f_ok … x …); (* QUI!! *) + napply (f_ok … x); (* QUI!! *) (* unfold carr; unfold proofs; simplify; apply (refl A) | simplify; diff --git a/helm/software/matita/nlibrary/sets/sets.ma b/helm/software/matita/nlibrary/sets/sets.ma index 3f5a4feee..eb99ee4c5 100644 --- a/helm/software/matita/nlibrary/sets/sets.ma +++ b/helm/software/matita/nlibrary/sets/sets.ma @@ -32,7 +32,7 @@ nqed. ntheorem subseteq_trans: ∀A.∀S1,S2,S3: Ω \sup A. S1 ⊆ S2 → S2 ⊆ S3 → S1 ⊆ S3. #A; #S1; #S2; #S3; #H12; #H23; #x; #H; - napply (H23 …); napply (H12 …); nassumption; + napply H23; napply H12; nassumption; nqed. ndefinition overlaps ≝ λA.λU,V:Ω \sup A.∃x:A.x ∈ U ∧ x ∈ V.