X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;ds=sidebyside;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fdynamic%2Fnta_cpms.ma;h=90ec1111613d6767d1ae729dae0b5cd84f63c360;hb=11093619476326238c2ef9d2dfe9150b8c9bc920;hp=3e125f3f873be05ec2cb811ffad33948db2dfa16;hpb=bd53c4e895203eb049e75434f638f26b5a161a2b;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/nta_cpms.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/nta_cpms.ma index 3e125f3f8..90ec11116 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/nta_cpms.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/nta_cpms.ma @@ -23,8 +23,8 @@ include "basic_2/dynamic/nta.ma". (* Basic_2A1: uses by definition nta_appl ntaa_appl *) lemma nta_appl_abst (h) (a) (p) (G) (L): ∀n. ad a n → - ∀V,W. ❪G,L❫ ⊢ V :[h,a] W → - ∀T,U. ❪G,L.ⓛW❫ ⊢ T :[h,a] U → ❪G,L❫ ⊢ ⓐV.ⓛ[p]W.T :[h,a] ⓐV.ⓛ[p]W.U. + ∀V,W. ❨G,L❩ ⊢ V :[h,a] W → + ∀T,U. ❨G,L.ⓛW❩ ⊢ T :[h,a] U → ❨G,L❩ ⊢ ⓐV.ⓛ[p]W.T :[h,a] ⓐV.ⓛ[p]W.U. #h #a #p #G #L #n #Ha #V #W #H1 #T #U #H2 elim (cnv_inv_cast … H1) -H1 #X1 #HW #HV #HWX1 #HVX1 elim (cnv_inv_cast … H2) -H2 #X2 #HU #HT #HUX2 #HTX2 @@ -35,8 +35,8 @@ qed. (* Basic_2A1: was nta_appl_old *) lemma nta_appl (h) (a) (p) (G) (L): ∀n. 1 ≤ n → ad a n → - ∀V,W. ❪G,L❫ ⊢ V :[h,a] W → - ∀T,U. ❪G,L❫ ⊢ T :[h,a] ⓛ[p]W.U → ❪G,L❫ ⊢ ⓐV.T :[h,a] ⓐV.ⓛ[p]W.U. + ∀V,W. ❨G,L❩ ⊢ V :[h,a] W → + ∀T,U. ❨G,L❩ ⊢ T :[h,a] ⓛ[p]W.U → ❨G,L❩ ⊢ ⓐV.T :[h,a] ⓐV.ⓛ[p]W.U. #h #a #p #G #L #n #Hn #Ha #V #W #H1 #T #U #H2 elim (cnv_inv_cast … H1) -H1 #X1 #HW #HV #HWX1 #HVX1 elim (cnv_inv_cast … H2) -H2 #X2 #HU #HT #HUX2 #HTX2 @@ -53,8 +53,8 @@ qed. (* Inversion lemmas with advanced rt_computation for terms ******************) lemma nta_inv_abst_bi_cnv (h) (a) (p) (G) (K) (W): - ∀T,U. ❪G,K❫ ⊢ ⓛ[p]W.T :[h,a] ⓛ[p]W.U → - ∧∧ ❪G,K❫ ⊢ W ![h,a] & ❪G,K.ⓛW❫ ⊢ T :[h,a] U. + ∀T,U. ❨G,K❩ ⊢ ⓛ[p]W.T :[h,a] ⓛ[p]W.U → + ∧∧ ❨G,K❩ ⊢ W ![h,a] & ❨G,K.ⓛW❩ ⊢ T :[h,a] U. #h #a #p #G #K #W #T #U #H elim (cnv_inv_cast … H) -H #X #HWU #HWT #HUX #HTX elim (cnv_inv_bind … HWU) -HWU #HW #HU