X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fdynamic%2Fnta_ind.ma;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fdynamic%2Fnta_ind.ma;h=325188276afe50faa8667487c2c457f15d02144d;hb=67fe9cec87e129a2a41c75d7ed8456a6f3314421;hp=03ed818b1c255db1cfd8205a2e7967b12a2b87a9;hpb=86861e6f031df66824a381527dfe847029ff72bc;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/nta_ind.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/nta_ind.ma index 03ed818b1..325188276 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/nta_ind.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/nta_ind.ma @@ -24,12 +24,12 @@ include "basic_2/dynamic/nta_preserve.ma". lemma nta_ind_rest_cnv (h) (Q:relation4 …): (∀G,L,s. Q G L (⋆s) (⋆(⫯[h]s))) → (∀G,K,V,W,U. - ⦃G,K⦄ ⊢ V :[h,𝟐] W → ⬆*[1] W ≘ U → + ⦃G,K⦄ ⊢ V :[h,𝟐] W → ⇧*[1] W ≘ U → Q G K V W → Q G (K.ⓓV) (#0) U ) → - (∀G,K,W,U. ⦃G,K⦄ ⊢ W ![h,𝟐] → ⬆*[1] W ≘ U → Q G (K.ⓛW) (#0) U) → + (∀G,K,W,U. ⦃G,K⦄ ⊢ W ![h,𝟐] → ⇧*[1] W ≘ U → Q G (K.ⓛW) (#0) U) → (∀I,G,K,W,U,i. - ⦃G,K⦄ ⊢ #i :[h,𝟐] W → ⬆*[1] W ≘ U → + ⦃G,K⦄ ⊢ #i :[h,𝟐] W → ⇧*[1] W ≘ U → Q G K (#i) W → Q G (K.ⓘ{I}) (#↑i) U ) → (∀p,I,G,K,V,T,U. @@ -81,12 +81,12 @@ qed-. lemma nta_ind_ext_cnv_mixed (h) (Q:relation4 …): (∀G,L,s. Q G L (⋆s) (⋆(⫯[h]s))) → (∀G,K,V,W,U. - ⦃G,K⦄ ⊢ V :[h,𝛚] W → ⬆*[1] W ≘ U → + ⦃G,K⦄ ⊢ V :[h,𝛚] W → ⇧*[1] W ≘ U → Q G K V W → Q G (K.ⓓV) (#0) U ) → - (∀G,K,W,U. ⦃G,K⦄ ⊢ W ![h,𝛚] → ⬆*[1] W ≘ U → Q G (K.ⓛW) (#0) U) → + (∀G,K,W,U. ⦃G,K⦄ ⊢ W ![h,𝛚] → ⇧*[1] W ≘ U → Q G (K.ⓛW) (#0) U) → (∀I,G,K,W,U,i. - ⦃G,K⦄ ⊢ #i :[h,𝛚] W → ⬆*[1] W ≘ U → + ⦃G,K⦄ ⊢ #i :[h,𝛚] W → ⇧*[1] W ≘ U → Q G K (#i) W → Q G (K.ⓘ{I}) (#↑i) U ) → (∀p,I,G,K,V,T,U. @@ -146,12 +146,12 @@ qed-. lemma nta_ind_ext_cnv (h) (Q:relation4 …): (∀G,L,s. Q G L (⋆s) (⋆(⫯[h]s))) → (∀G,K,V,W,U. - ⦃G,K⦄ ⊢ V :[h,𝛚] W → ⬆*[1] W ≘ U → + ⦃G,K⦄ ⊢ V :[h,𝛚] W → ⇧*[1] W ≘ U → Q G K V W → Q G (K.ⓓV) (#0) U ) → - (∀G,K,W,U. ⦃G,K⦄ ⊢ W ![h,𝛚] → ⬆*[1] W ≘ U → Q G (K.ⓛW) (#0) U) → + (∀G,K,W,U. ⦃G,K⦄ ⊢ W ![h,𝛚] → ⇧*[1] W ≘ U → Q G (K.ⓛW) (#0) U) → (∀I,G,K,W,U,i. - ⦃G,K⦄ ⊢ #i :[h,𝛚] W → ⬆*[1] W ≘ U → + ⦃G,K⦄ ⊢ #i :[h,𝛚] W → ⇧*[1] W ≘ U → Q G K (#i) W → Q G (K.ⓘ{I}) (#↑i) U ) → (∀p,I,G,K,V,T,U.