X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fdynamic%2Fnta_preserve.ma;h=3a61f5dda48f2c83ddae96340a3d1c7fcca79bde;hp=eb8d953a23c649d61bc13a90853971f41297036e;hb=25c634037771dff0138e5e8e3d4378183ff49b86;hpb=bd53c4e895203eb049e75434f638f26b5a161a2b diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/nta_preserve.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/nta_preserve.ma index eb8d953a2..3a61f5dda 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/nta_preserve.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/nta_preserve.ma @@ -101,7 +101,7 @@ qed-. lemma nta_inv_ldef_sn (h) (a) (G) (K) (V): ∀X2. ❪G,K.ⓓV❫ ⊢ #0 :[h,a] X2 → - ∃∃W,U. ❪G,K❫ ⊢ V :[h,a] W & ⇧*[1] W ≘ U & ❪G,K.ⓓV❫ ⊢ U ⬌*[h] X2 & ❪G,K.ⓓV❫ ⊢ X2 ![h,a]. + ∃∃W,U. ❪G,K❫ ⊢ V :[h,a] W & ⇧[1] W ≘ U & ❪G,K.ⓓV❫ ⊢ U ⬌*[h] X2 & ❪G,K.ⓓV❫ ⊢ X2 ![h,a]. #h #a #G #Y #X #X2 #H elim (cnv_inv_cast … H) -H #X1 #HX2 #H1 #HX21 #H2 elim (cnv_inv_zero … H1) -H1 #Z #K #V #HV #H destruct @@ -114,7 +114,7 @@ qed-. lemma nta_inv_lref_sn (h) (a) (G) (L): ∀X2,i. ❪G,L❫ ⊢ #↑i :[h,a] X2 → - ∃∃I,K,T2,U2. ❪G,K❫ ⊢ #i :[h,a] T2 & ⇧*[1] T2 ≘ U2 & ❪G,K.ⓘ[I]❫ ⊢ U2 ⬌*[h] X2 & ❪G,K.ⓘ[I]❫ ⊢ X2 ![h,a] & L = K.ⓘ[I]. + ∃∃I,K,T2,U2. ❪G,K❫ ⊢ #i :[h,a] T2 & ⇧[1] T2 ≘ U2 & ❪G,K.ⓘ[I]❫ ⊢ U2 ⬌*[h] X2 & ❪G,K.ⓘ[I]❫ ⊢ X2 ![h,a] & L = K.ⓘ[I]. #h #a #G #L #X2 #i #H elim (cnv_inv_cast … H) -H #X1 #HX2 #H1 #HX21 #H2 elim (cnv_inv_lref … H1) -H1 #I #K #Hi #H destruct @@ -127,8 +127,8 @@ qed-. lemma nta_inv_lref_sn_drops_cnv (h) (a) (G) (L): ∀X2,i. ❪G,L❫ ⊢ #i :[h,a] X2 → - ∨∨ ∃∃K,V,W,U. ⇩*[i] L ≘ K.ⓓV & ❪G,K❫ ⊢ V :[h,a] W & ⇧*[↑i] W ≘ U & ❪G,L❫ ⊢ U ⬌*[h] X2 & ❪G,L❫ ⊢ X2 ![h,a] - | ∃∃K,W,U. ⇩*[i] L ≘ K. ⓛW & ❪G,K❫ ⊢ W ![h,a] & ⇧*[↑i] W ≘ U & ❪G,L❫ ⊢ U ⬌*[h] X2 & ❪G,L❫ ⊢ X2 ![h,a]. + ∨∨ ∃∃K,V,W,U. ⇩[i] L ≘ K.ⓓV & ❪G,K❫ ⊢ V :[h,a] W & ⇧[↑i] W ≘ U & ❪G,L❫ ⊢ U ⬌*[h] X2 & ❪G,L❫ ⊢ X2 ![h,a] + | ∃∃K,W,U. ⇩[i] L ≘ K. ⓛW & ❪G,K❫ ⊢ W ![h,a] & ⇧[↑i] W ≘ U & ❪G,L❫ ⊢ U ⬌*[h] X2 & ❪G,L❫ ⊢ X2 ![h,a]. #h #a #G #L #X2 #i #H elim (cnv_inv_cast … H) -H #X1 #HX2 #H1 #HX21 #H2 elim (cnv_inv_lref_drops … H1) -H1 #I #K #V #HLK #HV