X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;ds=sidebyside;f=matita%2Fmatita%2Fcontribs%2Flambda_delta%2FBasic_2%2Funfold%2Fltpss_ltpss.ma;h=7091e0803572742e7386163fe4cecec67668cbbb;hb=13a37618a5cebc5e0088a7da213f1de033d281db;hp=e9995db7037934e5aa8d5b2eff9b054a310af183;hpb=39e80f80b26e18cf78f805e814ba2f2e8400c1f1;p=helm.git diff --git a/matita/matita/contribs/lambda_delta/Basic_2/unfold/ltpss_ltpss.ma b/matita/matita/contribs/lambda_delta/Basic_2/unfold/ltpss_ltpss.ma index e9995db70..7091e0803 100644 --- a/matita/matita/contribs/lambda_delta/Basic_2/unfold/ltpss_ltpss.ma +++ b/matita/matita/contribs/lambda_delta/Basic_2/unfold/ltpss_ltpss.ma @@ -24,7 +24,7 @@ theorem ltpss_trans_eq: ∀L1,L,L2,d,e. lemma ltpss_tpss2: ∀L1,L2,I,V1,V2,e. L1 [0, e] ▶* L2 → L2 ⊢ V1 [0, e] ▶* V2 → - L1. 𝕓{I} V1 [0, e + 1] ▶* L2. 𝕓{I} V2. + L1. ⓑ{I} V1 [0, e + 1] ▶* L2. ⓑ{I} V2. #L1 #L2 #I #V1 #V2 #e #HL12 #H @(tpss_ind … H) -V2 [ /2 width=1/ | #V #V2 #_ #HV2 #IHV @(ltpss_trans_eq … IHV) /2 width=1/ @@ -33,14 +33,14 @@ qed. lemma ltpss_tpss2_lt: ∀L1,L2,I,V1,V2,e. L1 [0, e - 1] ▶* L2 → L2 ⊢ V1 [0, e - 1] ▶* V2 → - 0 < e → L1. 𝕓{I} V1 [0, e] ▶* L2. 𝕓{I} V2. + 0 < e → L1. ⓑ{I} V1 [0, e] ▶* L2. ⓑ{I} V2. #L1 #L2 #I #V1 #V2 #e #HL12 #HV12 #He >(plus_minus_m_m e 1) // /2 width=1/ qed. lemma ltpss_tpss1: ∀L1,L2,I,V1,V2,d,e. L1 [d, e] ▶* L2 → L2 ⊢ V1 [d, e] ▶* V2 → - L1. 𝕓{I} V1 [d + 1, e] ▶* L2. 𝕓{I} V2. + L1. ⓑ{I} V1 [d + 1, e] ▶* L2. ⓑ{I} V2. #L1 #L2 #I #V1 #V2 #d #e #HL12 #H @(tpss_ind … H) -V2 [ /2 width=1/ | #V #V2 #_ #HV2 #IHV @(ltpss_trans_eq … IHV) /2 width=1/ @@ -49,7 +49,7 @@ qed. lemma ltpss_tpss1_lt: ∀L1,L2,I,V1,V2,d,e. L1 [d - 1, e] ▶* L2 → L2 ⊢ V1 [d - 1, e] ▶* V2 → - 0 < d → L1. 𝕓{I} V1 [d, e] ▶* L2. 𝕓{I} V2. + 0 < d → L1. ⓑ{I} V1 [d, e] ▶* L2. ⓑ{I} V2. #L1 #L2 #I #V1 #V2 #d #e #HL12 #HV12 #Hd >(plus_minus_m_m d 1) // /2 width=1/ qed.