X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2Fdama%2Fdama%2Funiform.ma;h=82278eb08823e394bcfcbb23024f0e8206306175;hb=eabdca1b931aa21e17a63ad34a3f43b4f79e4c5b;hp=ed9e6fe5d1d60a66ddf205d8e1bbcbe7f0ffd113;hpb=ada8695ba51b2ecbd4a955f990e8d06f038aac6b;p=helm.git diff --git a/helm/software/matita/contribs/dama/dama/uniform.ma b/helm/software/matita/contribs/dama/dama/uniform.ma index ed9e6fe5d..82278eb08 100644 --- a/helm/software/matita/contribs/dama/dama/uniform.ma +++ b/helm/software/matita/contribs/dama/dama/uniform.ma @@ -17,23 +17,23 @@ include "supremum.ma". (* Definition 2.13 *) alias symbol "square" = "bishop set square". -alias symbol "pair" = "pair". +alias symbol "pair" = "Pair construction". alias symbol "exists" = "exists". alias symbol "and" = "logical and". definition compose_bs_relations ≝ λC:bishop_set.λU,V:C square → Prop. - λx:C square.∃y:C. U 〈fst x,y〉 ∧ V 〈y,snd x〉. + λx:C square.∃y:C. U 〈\fst x,y〉 ∧ V 〈y,\snd x〉. definition compose_os_relations ≝ λC:ordered_set.λU,V:C square → Prop. - λx:C square.∃y:C. U 〈fst x,y〉 ∧ V 〈y,snd x〉. + λx:C square.∃y:C. U 〈\fst x,y〉 ∧ V 〈y,\snd x〉. interpretation "bishop set relations composition" 'compose a b = (compose_bs_relations _ a b). interpretation "ordered set relations composition" 'compose a b = (compose_os_relations _ a b). definition invert_bs_relation ≝ λC:bishop_set.λU:C square → Prop. - λx:C square. U 〈snd x,fst x〉. + λx:C square. U 〈\snd x,\fst x〉. notation < "s \sup (-1)" with precedence 70 for @{ 'invert $s }. notation < "s \sup (-1) x" with precedence 70 @@ -52,7 +52,7 @@ record uniform_space : Type ≝ { us_carr:> bishop_set; us_unifbase: (us_carr square → Prop) → CProp; us_phi1: ∀U:us_carr square → Prop. us_unifbase U → - (λx:us_carr square.fst x ≈ snd x) ⊆ U; + (λx:us_carr square.\fst x ≈ \snd x) ⊆ U; us_phi2: ∀U,V:us_carr square → Prop. us_unifbase U → us_unifbase V → ∃W:us_carr square → Prop.us_unifbase W ∧ (W ⊆ (λx.U x ∧ V x)); us_phi3: ∀U:us_carr square → Prop. us_unifbase U →