X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_transition%2Frpx_fsle.ma;h=29c6a5cd3de00374b4b48d5f291c924ef426cf7c;hp=4f811399e0f50ae5e53bb67c70db2a02316a603e;hb=bd53c4e895203eb049e75434f638f26b5a161a2b;hpb=3b7b8afcb429a60d716d5226a5b6ab0d003228b1 diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/rpx_fsle.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/rpx_fsle.ma index 4f811399e..29c6a5cd3 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/rpx_fsle.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/rpx_fsle.ma @@ -22,11 +22,11 @@ include "basic_2/rt_transition/rpx_fqup.ma". (* Forward lemmas with free variables inclusion for restricted closures *****) -(* Note: "⦃L2, T1⦄ ⊆ ⦃L2, T0⦄" does not hold *) +(* Note: "❪L2, T1❫ ⊆ ❪L2, T0❫" does not hold *) (* Note: Take L0 = K0.ⓓ(ⓝW.V), L2 = K0.ⓓW, T0 = #0, T1 = ⇧*[1]V *) (* Note: This invalidates rpxs_cpx_conf: "∀h, G. s_r_confluent1 … (cpx h G) (rpxs h G)" *) -lemma rpx_cpx_conf_fsge (h) (G): ∀L0,T0,T1. ⦃G,L0⦄ ⊢ T0 ⬈[h] T1 → - ∀L2. ⦃G,L0⦄ ⊢⬈[h,T0] L2 → ⦃L2,T1⦄ ⊆ ⦃L0,T0⦄. +lemma rpx_cpx_conf_fsge (h) (G): ∀L0,T0,T1. ❪G,L0❫ ⊢ T0 ⬈[h] T1 → + ∀L2. ❪G,L0❫ ⊢⬈[h,T0] L2 → ❪L2,T1❫ ⊆ ❪L0,T0❫. #h #G0 #L0 #T0 @(fqup_wf_ind_eq (Ⓣ) … G0 L0 T0) -G0 -L0 -T0 #G #L #T #IH #G0 #L0 * * [ #s #HG #HL #HT #X #HX #Y #HY destruct -IH @@ -133,6 +133,6 @@ lemma cpx_rex_conf (R) (h) (G): s_r_confluent1 … (cpx h G) (rex R). lemma rpx_cpx_conf (h) (G): s_r_confluent1 … (cpx h G) (rpx h G). /2 width=5 by cpx_rex_conf/ qed-. -lemma rpx_cpx_conf_fsge_dx (h) (G): ∀L0,T0,T1. ⦃G,L0⦄ ⊢ T0 ⬈[h] T1 → - ∀L2. ⦃G,L0⦄ ⊢⬈[h,T0] L2 → ⦃L2,T1⦄ ⊆ ⦃L0,T1⦄. +lemma rpx_cpx_conf_fsge_dx (h) (G): ∀L0,T0,T1. ❪G,L0❫ ⊢ T0 ⬈[h] T1 → + ∀L2. ❪G,L0❫ ⊢⬈[h,T0] L2 → ❪L2,T1❫ ⊆ ❪L0,T1❫. /3 width=5 by rpx_cpx_conf, rpx_fsge_comp/ qed-.