X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_transition%2Flfpx_lfdeq.ma;h=9dc71abaf68e0bcce0802cb374386eb26fa096e5;hp=c200396121028200159242d59230728a964526ca;hb=f7296f9cf2ee73465a374942c46b138f35c42ccb;hpb=e8971d3db8935436e6dddc27fe1ae168c7f3b315 diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lfpx_lfdeq.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lfpx_lfdeq.ma index c20039612..9dc71abaf 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lfpx_lfdeq.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/lfpx_lfdeq.ma @@ -22,19 +22,19 @@ include "basic_2/rt_transition/lfpx_fsle.ma". lemma lfpx_pair_sn_split: ∀h,G,L1,L2,V. ⦃G, L1⦄ ⊢ ⬈[h, V] L2 → ∀o,I,T. ∃∃L. ⦃G, L1⦄ ⊢ ⬈[h, ②{I}V.T] L & L ≛[h, o, V] L2. -/3 width=5 by lfpx_fsle_comp, lfxs_pair_sn_split/ qed-. +/3 width=5 by lfpx_fsge_comp, lfxs_pair_sn_split/ qed-. lemma lfpx_flat_dx_split: ∀h,G,L1,L2,T. ⦃G, L1⦄ ⊢ ⬈[h, T] L2 → ∀o,I,V. ∃∃L. ⦃G, L1⦄ ⊢ ⬈[h, ⓕ{I}V.T] L & L ≛[h, o, T] L2. -/3 width=5 by lfpx_fsle_comp, lfxs_flat_dx_split/ qed-. +/3 width=5 by lfpx_fsge_comp, lfxs_flat_dx_split/ qed-. lemma lfpx_bind_dx_split: ∀h,I,G,L1,L2,V1,T. ⦃G, L1.ⓑ{I}V1⦄ ⊢ ⬈[h, T] L2 → ∀o,p. ∃∃L,V. ⦃G, L1⦄ ⊢ ⬈[h, ⓑ{p,I}V1.T] L & L.ⓑ{I}V ≛[h, o, T] L2 & ⦃G, L1⦄ ⊢ V1 ⬈[h] V. -/3 width=5 by lfpx_fsle_comp, lfxs_bind_dx_split/ qed-. +/3 width=5 by lfpx_fsge_comp, lfxs_bind_dx_split/ qed-. lemma lfpx_bind_dx_split_void: ∀h,G,K1,L2,T. ⦃G, K1.ⓧ⦄ ⊢ ⬈[h, T] L2 → ∀o,p,I,V. ∃∃K2. ⦃G, K1⦄ ⊢ ⬈[h, ⓑ{p,I}V.T] K2 & K2.ⓧ ≛[h, o, T] L2. -/3 width=5 by lfpx_fsle_comp, lfxs_bind_dx_split_void/ qed-. +/3 width=5 by lfpx_fsge_comp, lfxs_bind_dx_split_void/ qed-. lemma cpx_tdeq_conf_lexs: ∀h,o,G. R_confluent2_lfxs … (cpx h G) (cdeq h o) (cpx h G) (cdeq h o). #h #o #G #L0 #T0 #T1 #H @(cpx_ind … H) -G -L0 -T0 -T1 /2 width=3 by ex2_intro/ @@ -150,7 +150,7 @@ elim (cpx_lfdeq_conf … o … HT01 L2) -HT01 qed-. lemma lfpx_lfdeq_conf: ∀h,o,G,T. confluent2 … (lfpx h G T) (lfdeq h o T). -/3 width=6 by lfpx_fsle_comp, lfdeq_fsle_comp, cpx_tdeq_conf_lexs, lfxs_conf/ qed-. +/3 width=6 by lfpx_fsge_comp, lfdeq_fsge_comp, cpx_tdeq_conf_lexs, lfxs_conf/ qed-. (* Basic_2A1: uses: lleq_lpx_trans *) lemma lfdeq_lfpx_trans: ∀h,o,G,T,L2,K2. ⦃G, L2⦄ ⊢ ⬈[h, T] K2 →