From: Ferruccio Guidi Date: Mon, 21 Nov 2005 11:28:31 +0000 (+0000) Subject: internal quantification fixed X-Git-Tag: V_0_7_2_3~20 X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=commitdiff_plain;h=c5e94d35e8f36f868c5a1f02d80a419bfe802ba1 internal quantification fixed --- diff --git a/helm/matita/contribs/PREDICATIVE-TOPOLOGY/domain_defs.ma b/helm/matita/contribs/PREDICATIVE-TOPOLOGY/domain_defs.ma index 670211caf..916c91cd8 100644 --- a/helm/matita/contribs/PREDICATIVE-TOPOLOGY/domain_defs.ma +++ b/helm/matita/contribs/PREDICATIVE-TOPOLOGY/domain_defs.ma @@ -30,32 +30,31 @@ record Domain: Type \def { coercion qd. (* internal universal quantification *) -inductive iall (D:Domain) (P:D \to Prop) : Prop \def - | iall_intro: (\forall d:D. cin D d \to P d) \to iall D P. +inductive dall (D:Domain) (P:D \to Prop) : Prop \def + | dall_intro: (\forall d:D. cin D d \to P d) \to dall D P. (* internal existential quantification *) -inductive iex (D:Domain) (P:D \to Prop) : Prop \def - | iex_intro: \forall d:D. cin D d \land P d \to iex D P. -(* +inductive dex (D:Domain) (P:D \to Prop) : Prop \def + | dex_intro: \forall d:D. cin D d \land P d \to dex D P. + (* notations **************************************************************) (*CSC: the URI must disappear: there is a bug now *) -interpretation "internal for all" 'iall \eta.x = - (cic:/matita/PREDICATIVE-TOPOLOGY/domain_defs/iall.ind#xpointer(1/1) _ x). +interpretation "internal for all" 'iforall \eta.x = + (cic:/matita/PREDICATIVE-TOPOLOGY/domain_defs/dall.ind#xpointer(1/1) _ x). -notation < "hvbox(\iall ident i opt (: ty) break . p)" +notation > "hvbox(\iforall ident i opt (: ty) break . p)" right associative with precedence 20 -for @{ 'iall ${default +for @{ 'iforall ${default @{\lambda ${ident i} : $ty. $p)} @{\lambda ${ident i} . $p}}}. (*CSC: the URI must disappear: there is a bug now *) -interpretation "internal exist" 'iexist \eta.x = - (cic:/matita/PREDICATIVE-TOPOLOGY/domain_defs/iex.ind#xpointer(1/1) _ x). +interpretation "internal exists" 'dexists \eta.x = + (cic:/matita/PREDICATIVE-TOPOLOGY/domain_defs/dex.ind#xpointer(1/1) _ x). -notation < "hvbox(\iexist ident i opt (: ty) break . p)" +notation > "hvbox(\iexists ident i opt (: ty) break . p)" right associative with precedence 20 -for @{ 'iexist ${default +for @{ 'dexists ${default @{\lambda ${ident i} : $ty. $p)} @{\lambda ${ident i} . $p}}}. -*) \ No newline at end of file diff --git a/helm/matita/contribs/PREDICATIVE-TOPOLOGY/subset_defs.ma b/helm/matita/contribs/PREDICATIVE-TOPOLOGY/subset_defs.ma index 87ecb2780..3cc583f02 100644 --- a/helm/matita/contribs/PREDICATIVE-TOPOLOGY/subset_defs.ma +++ b/helm/matita/contribs/PREDICATIVE-TOPOLOGY/subset_defs.ma @@ -43,12 +43,11 @@ definition sor: \forall D. Subset D \to Subset D \to Subset D \def (* subset less or equal (inclusion) *) definition sle: \forall D. Subset D \to Subset D \to Prop \def - \lambda D,U1,U2. \forall d. U1 d \to U2 d. -(* + \lambda D,U1,U2. \iforall d. U1 d \to U2 d. + (* subset overlap *) definition sover: \forall D. Subset D \to Subset D \to Prop \def - \lambda D,U1,U2. \forall d. U1 d \to U2 d. -*) + \lambda D,U1,U2. \iexists d. U1 d \land U2 d. (* coercions **************************************************************) @@ -65,4 +64,3 @@ coercion domain_of_subset. (* the full subset of a domain *) coercion stop. - diff --git a/helm/matita/matita.lang b/helm/matita/matita.lang index 3241d239e..e99672a35 100644 --- a/helm/matita/matita.lang +++ b/helm/matita/matita.lang @@ -172,6 +172,8 @@ lor subst vdash + iforall + iexists