X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Fcpxs_drops.ma;h=87ff4a980ba4d12f70b1cfa011d807e8842c146c;hb=397413c4196f84c81d61ba7dd79b54ab1c428ebb;hp=0fd54e95ac94f0c5ab05ba76c7f6b96bd971fb46;hpb=75f395f0febd02de8e0f881d918a8812b1425c8d;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_drops.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_drops.ma index 0fd54e95a..87ff4a980 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_drops.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_drops.ma @@ -31,7 +31,7 @@ lemma cpxs_delta: ∀h,I,G,K,V1,V2. ⦃G, K⦄ ⊢ V1 ⬈*[h] V2 → qed. lemma cpxs_lref: ∀h,I,G,K,T,i. ⦃G, K⦄ ⊢ #i ⬈*[h] T → - ∀U. ⬆*[1] T ≘ U → ⦃G, K.ⓘ{I}⦄ ⊢ #⫯i ⬈*[h] U. + ∀U. ⬆*[1] T ≘ U → ⦃G, K.ⓘ{I}⦄ ⊢ #↑i ⬈*[h] U. #h #I #G #K #T #i #H @(cpxs_ind … H) -T [ /3 width=3 by cpx_cpxs, cpx_lref/ | #T0 #T #_ #HT2 #IH #U #HTU @@ -43,11 +43,11 @@ qed. (* Basic_2A1: was: cpxs_delta *) lemma cpxs_delta_drops: ∀h,I,G,L,K,V1,V2,i. ⬇*[i] L ≘ K.ⓑ{I}V1 → ⦃G, K⦄ ⊢ V1 ⬈*[h] V2 → - ∀W2. ⬆*[⫯i] V2 ≘ W2 → ⦃G, L⦄ ⊢ #i ⬈*[h] W2. + ∀W2. ⬆*[↑i] V2 ≘ W2 → ⦃G, L⦄ ⊢ #i ⬈*[h] W2. #h #I #G #L #K #V1 #V2 #i #HLK #H @(cpxs_ind … H) -V2 [ /3 width=7 by cpx_cpxs, cpx_delta_drops/ | #V #V2 #_ #HV2 #IH #W2 #HVW2 - elim (lifts_total V (𝐔❴⫯i❵)) + elim (lifts_total V (𝐔❴↑i❵)) /4 width=11 by cpxs_strap1, cpx_lifts_bi, drops_isuni_fwd_drop2/ ] qed. @@ -69,8 +69,8 @@ lemma cpxs_inv_zero1: ∀h,G,L,T2. ⦃G, L⦄ ⊢ #0 ⬈*[h] T2 → ] qed-. -lemma cpxs_inv_lref1: ∀h,G,L,T2,i. ⦃G, L⦄ ⊢ #⫯i ⬈*[h] T2 → - T2 = #(⫯i) ∨ +lemma cpxs_inv_lref1: ∀h,G,L,T2,i. ⦃G, L⦄ ⊢ #↑i ⬈*[h] T2 → + T2 = #(↑i) ∨ ∃∃I,K,T. ⦃G, K⦄ ⊢ #i ⬈*[h] T & ⬆*[1] T ≘ T2 & L = K.ⓘ{I}. #h #G #L #T2 #i #H @(cpxs_ind … H) -T2 /2 width=1 by or_introl/ #T #T2 #_ #HT2 * @@ -87,7 +87,7 @@ qed-. lemma cpxs_inv_lref1_drops: ∀h,G,L,T2,i. ⦃G, L⦄ ⊢ #i ⬈*[h] T2 → T2 = #i ∨ ∃∃I,K,V1,T1. ⬇*[i] L ≘ K.ⓑ{I}V1 & ⦃G, K⦄ ⊢ V1 ⬈*[h] T1 & - ⬆*[⫯i] T1 ≘ T2. + ⬆*[↑i] T1 ≘ T2. #h #G #L #T2 #i #H @(cpxs_ind … H) -T2 /2 width=1 by or_introl/ #T #T2 #_ #HT2 * [ #H destruct