X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_transition%2Ffpb.ma;h=51c4141120850b6e50fad61dee448b386d504efb;hp=39de38ce21434ddf6cebec8a7cd6c830be86d743;hb=ff612dc35167ec0c145864c9aa8ae5e1ebe20a48;hpb=b3afed9fd3cc38ecd4578f6b0741be50872a2828 diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpb.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpb.ma index 39de38ce2..51c414112 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpb.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpb.ma @@ -13,16 +13,16 @@ (**************************************************************************) include "basic_2/notation/relations/predsubtyproper_8.ma". -include "basic_2/s_transition/fqu.ma". -include "basic_2/static/lfdeq.ma". -include "basic_2/rt_transition/lfpr_lfpx.ma". +include "static_2/s_transition/fqu.ma". +include "static_2/static/rdeq.ma". +include "basic_2/rt_transition/lpr_lpx.ma". (* PROPER PARALLEL RST-TRANSITION FOR CLOSURES ******************************) inductive fpb (h) (o) (G1) (L1) (T1): relation3 genv lenv term ≝ -| fpb_fqu : ∀G2,L2,T2. ⦃G1, L1, T1⦄ ⊐ ⦃G2, L2, T2⦄ → fpb h o G1 L1 T1 G2 L2 T2 -| fpb_cpx : ∀T2. ⦃G1, L1⦄ ⊢ T1 ⬈[h] T2 → (T1 ≛[h, o] T2 → ⊥) → fpb h o G1 L1 T1 G1 L1 T2 -| fpb_lfpx: ∀L2. ⦃G1, L1⦄ ⊢ ⬈[h, T1] L2 → (L1 ≛[h, o, T1] L2 → ⊥) → fpb h o G1 L1 T1 G1 L2 T1 +| fpb_fqu: ∀G2,L2,T2. ⦃G1, L1, T1⦄ ⊐ ⦃G2, L2, T2⦄ → fpb h o G1 L1 T1 G2 L2 T2 +| fpb_cpx: ∀T2. ⦃G1, L1⦄ ⊢ T1 ⬈[h] T2 → (T1 ≛[h, o] T2 → ⊥) → fpb h o G1 L1 T1 G1 L1 T2 +| fpb_lpx: ∀L2. ⦃G1, L1⦄ ⊢ ⬈[h] L2 → (L1 ≛[h, o, T1] L2 → ⊥) → fpb h o G1 L1 T1 G1 L2 T1 . interpretation @@ -32,11 +32,10 @@ interpretation (* Basic properties *********************************************************) (* Basic_2A1: includes: cpr_fpb *) -lemma cpm_fpb: ∀n,h,o,G,L,T1,T2. ⦃G, L⦄ ⊢ T1 ➡[n, h] T2 → (T1 ≛[h, o] T2 → ⊥) → - ⦃G, L, T1⦄ ≻[h, o] ⦃G, L, T2⦄. +lemma cpm_fpb (n) (h) (o) (G) (L): ∀T1,T2. ⦃G, L⦄ ⊢ T1 ➡[n, h] T2 → (T1 ≛[h, o] T2 → ⊥) → + ⦃G, L, T1⦄ ≻[h, o] ⦃G, L, T2⦄. /3 width=2 by fpb_cpx, cpm_fwd_cpx/ qed. -(* Basic_2A1: includes: lpr_fpb *) -lemma lfpr_fpb: ∀h,o,G,L1,L2,T. ⦃G, L1⦄ ⊢ ➡[h, T] L2 → (L1 ≛[h, o, T] L2 → ⊥) → - ⦃G, L1, T⦄ ≻[h, o] ⦃G, L2, T⦄. -/3 width=1 by fpb_lfpx, lfpr_fwd_lfpx/ qed. +lemma lpr_fpb (h) (o) (G) (T): ∀L1,L2. ⦃G, L1⦄ ⊢ ➡[h] L2 → (L1 ≛[h, o, T] L2 → ⊥) → + ⦃G, L1, T⦄ ≻[h, o] ⦃G, L2, T⦄. +/3 width=1 by fpb_lpx, lpr_fwd_lpx/ qed.