X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambda_delta%2FBasic_2%2Funfold%2Ftpss.ma;h=16a0d3e4d9fb9a39e6b673c6e3704040a9cc3029;hb=48b202cd4ccd3ffc10f9a134314f747fdee30d36;hp=0db2e9395f25d319197b1646da94d678c49bd042;hpb=e4328c9691fa85434acfb24eaedcb15ea2263b28;p=helm.git diff --git a/matita/matita/contribs/lambda_delta/Basic_2/unfold/tpss.ma b/matita/matita/contribs/lambda_delta/Basic_2/unfold/tpss.ma index 0db2e9395..16a0d3e4d 100644 --- a/matita/matita/contribs/lambda_delta/Basic_2/unfold/tpss.ma +++ b/matita/matita/contribs/lambda_delta/Basic_2/unfold/tpss.ma @@ -44,22 +44,22 @@ lemma tpss_refl: ∀d,e,L,T. L ⊢ T [d, e] ▶* T. /2 width=1/ qed. lemma tpss_bind: ∀L,V1,V2,d,e. L ⊢ V1 [d, e] ▶* V2 → - ∀I,T1,T2. L. 𝕓{I} V2 ⊢ T1 [d + 1, e] ▶* T2 → - L ⊢ 𝕓{I} V1. T1 [d, e] ▶* 𝕓{I} V2. T2. + ∀I,T1,T2. L. ⓑ{I} V2 ⊢ T1 [d + 1, e] ▶* T2 → + L ⊢ ⓑ{I} V1. T1 [d, e] ▶* ⓑ{I} V2. T2. #L #V1 #V2 #d #e #HV12 elim HV12 -V2 [ #V2 #HV12 #I #T1 #T2 #HT12 elim HT12 -T2 [ /3 width=5/ | #T #T2 #_ #HT2 #IHT @step /2 width=5/ (**) (* /3 width=5/ is too slow *) ] | #V #V2 #_ #HV12 #IHV #I #T1 #T2 #HT12 - lapply (tpss_lsubs_conf … HT12 (L. 𝕓{I} V) ?) -HT12 /2 width=1/ #HT12 + lapply (tpss_lsubs_conf … HT12 (L. ⓑ{I} V) ?) -HT12 /2 width=1/ #HT12 lapply (IHV … HT12) -IHV -HT12 #HT12 @step /2 width=5/ (**) (* /3 width=5/ is too slow *) ] qed. lemma tpss_flat: ∀L,I,V1,V2,T1,T2,d,e. L ⊢ V1 [d, e] ▶ * V2 → L ⊢ T1 [d, e] ▶* T2 → - L ⊢ 𝕗{I} V1. T1 [d, e] ▶* 𝕗{I} V2. T2. + L ⊢ ⓕ{I} V1. T1 [d, e] ▶* ⓕ{I} V2. T2. #L #I #V1 #V2 #T1 #T2 #d #e #HV12 elim HV12 -V2 [ #V2 #HV12 #HT12 elim HT12 -T2 [ /3 width=1/ @@ -116,21 +116,21 @@ lemma tpss_inv_gref1: ∀L,T2,p,d,e. L ⊢ §p [d, e] ▶* T2 → T2 = §p. ] qed-. -lemma tpss_inv_bind1: ∀d,e,L,I,V1,T1,U2. L ⊢ 𝕓{I} V1. T1 [d, e] ▶* U2 → +lemma tpss_inv_bind1: ∀d,e,L,I,V1,T1,U2. L ⊢ ⓑ{I} V1. T1 [d, e] ▶* U2 → ∃∃V2,T2. L ⊢ V1 [d, e] ▶* V2 & - L. 𝕓{I} V2 ⊢ T1 [d + 1, e] ▶* T2 & - U2 = 𝕓{I} V2. T2. + L. ⓑ{I} V2 ⊢ T1 [d + 1, e] ▶* T2 & + U2 = ⓑ{I} V2. T2. #d #e #L #I #V1 #T1 #U2 #H @(tpss_ind … H) -U2 [ /2 width=5/ | #U #U2 #_ #HU2 * #V #T #HV1 #HT1 #H destruct elim (tps_inv_bind1 … HU2) -HU2 #V2 #T2 #HV2 #HT2 #H - lapply (tpss_lsubs_conf … HT1 (L. 𝕓{I} V2) ?) -HT1 /2 width=1/ /3 width=5/ + lapply (tpss_lsubs_conf … HT1 (L. ⓑ{I} V2) ?) -HT1 /2 width=1/ /3 width=5/ ] qed-. -lemma tpss_inv_flat1: ∀d,e,L,I,V1,T1,U2. L ⊢ 𝕗{I} V1. T1 [d, e] ▶* U2 → +lemma tpss_inv_flat1: ∀d,e,L,I,V1,T1,U2. L ⊢ ⓕ{I} V1. T1 [d, e] ▶* U2 → ∃∃V2,T2. L ⊢ V1 [d, e] ▶* V2 & L ⊢ T1 [d, e] ▶* T2 & - U2 = 𝕗{I} V2. T2. + U2 = ⓕ{I} V2. T2. #d #e #L #I #V1 #T1 #U2 #H @(tpss_ind … H) -U2 [ /2 width=5/ | #U #U2 #_ #HU2 * #V #T #HV1 #HT1 #H destruct