X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Fcpxs_rdeq.ma;h=1d3dfa50d0d8208584c11f1eebe4ecca14154b8b;hp=58c6d29ff80fa85669ee32b746c279b8669bb09e;hb=f308429a0fde273605a2330efc63268b4ac36c99;hpb=87f57ddc367303c33e19c83cd8989cd561f3185b diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_rdeq.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_rdeq.ma index 58c6d29ff..1d3dfa50d 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_rdeq.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpxs_rdeq.ma @@ -20,9 +20,9 @@ include "basic_2/rt_computation/cpxs_tdeq.ma". (* Properties with sort-irrelevant equivalence for local environments *******) (* Basic_2A1: was just: lleq_cpxs_trans *) -lemma rdeq_cpxs_trans: ∀h,G,L0,T0,T1. ⦃G, L0⦄ ⊢ T0 ⬈*[h] T1 → +lemma rdeq_cpxs_trans: ∀h,G,L0,T0,T1. ⦃G,L0⦄ ⊢ T0 ⬈*[h] T1 → ∀L2. L2 ≛[T0] L0 → - ∃∃T. ⦃G, L2⦄ ⊢ T0 ⬈*[h] T & T ≛ T1. + ∃∃T. ⦃G,L2⦄ ⊢ T0 ⬈*[h] T & T ≛ T1. #h #G #L0 #T0 #T1 #H @(cpxs_ind_dx … H) -T0 /2 width=3 by ex2_intro/ #T0 #T #HT0 #_ #IH #L2 #HL2 elim (rdeq_cpx_trans … HL2 … HT0) #U1 #H1 #H2 @@ -32,18 +32,18 @@ elim (tdeq_cpxs_trans … H2 … H3) -T #U0 #H2 #H3 qed-. (* Basic_2A1: was just: cpxs_lleq_conf *) -lemma cpxs_rdeq_conf: ∀h,G,L0,T0,T1. ⦃G, L0⦄ ⊢ T0 ⬈*[h] T1 → +lemma cpxs_rdeq_conf: ∀h,G,L0,T0,T1. ⦃G,L0⦄ ⊢ T0 ⬈*[h] T1 → ∀L2. L0 ≛[T0] L2 → - ∃∃T. ⦃G, L2⦄ ⊢ T0 ⬈*[h] T & T ≛ T1. + ∃∃T. ⦃G,L2⦄ ⊢ T0 ⬈*[h] T & T ≛ T1. /3 width=3 by rdeq_cpxs_trans, rdeq_sym/ qed-. (* Basic_2A1: was just: cpxs_lleq_conf_dx *) -lemma cpxs_rdeq_conf_dx: ∀h,G,L2,T1,T2. ⦃G, L2⦄ ⊢ T1 ⬈*[h] T2 → +lemma cpxs_rdeq_conf_dx: ∀h,G,L2,T1,T2. ⦃G,L2⦄ ⊢ T1 ⬈*[h] T2 → ∀L1. L1 ≛[T1] L2 → L1 ≛[T2] L2. #h #G #L2 #T1 #T2 #H @(cpxs_ind … H) -T2 /3 width=6 by cpx_rdeq_conf_dx/ qed-. (* Basic_2A1: was just: lleq_conf_sn *) -lemma cpxs_rdeq_conf_sn: ∀h,G,L1,T1,T2. ⦃G, L1⦄ ⊢ T1 ⬈*[h] T2 → +lemma cpxs_rdeq_conf_sn: ∀h,G,L1,T1,T2. ⦃G,L1⦄ ⊢ T1 ⬈*[h] T2 → ∀L2. L1 ≛[T1] L2 → L1 ≛[T2] L2. /4 width=6 by cpxs_rdeq_conf_dx, rdeq_sym/ qed-.