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=5b0c68c2a6f563bcf0897e602ad61f5f96294023;hp=57a4c6964d4a5e7a662c19af82abf17af4285965;hb=bd53c4e895203eb049e75434f638f26b5a161a2b;hpb=3b7b8afcb429a60d716d5226a5b6ab0d003228b1 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 57a4c6964..5b0c68c2a 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpb.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpb.ma @@ -20,9 +20,9 @@ include "basic_2/rt_transition/lpr_lpx.ma". (* PROPER PARALLEL RST-TRANSITION FOR CLOSURES ******************************) inductive fpb (h) (G1) (L1) (T1): relation3 genv lenv term ≝ -| fpb_fqu: ∀G2,L2,T2. ⦃G1,L1,T1⦄ ⬂ ⦃G2,L2,T2⦄ → fpb h G1 L1 T1 G2 L2 T2 -| fpb_cpx: ∀T2. ⦃G1,L1⦄ ⊢ T1 ⬈[h] T2 → (T1 ≛ T2 → ⊥) → fpb h G1 L1 T1 G1 L1 T2 -| fpb_lpx: ∀L2. ⦃G1,L1⦄ ⊢ ⬈[h] L2 → (L1 ≛[T1] L2 → ⊥) → fpb h G1 L1 T1 G1 L2 T1 +| fpb_fqu: ∀G2,L2,T2. ❪G1,L1,T1❫ ⬂ ❪G2,L2,T2❫ → fpb h G1 L1 T1 G2 L2 T2 +| fpb_cpx: ∀T2. ❪G1,L1❫ ⊢ T1 ⬈[h] T2 → (T1 ≛ T2 → ⊥) → fpb h G1 L1 T1 G1 L1 T2 +| fpb_lpx: ∀L2. ❪G1,L1❫ ⊢ ⬈[h] L2 → (L1 ≛[T1] L2 → ⊥) → fpb h G1 L1 T1 G1 L2 T1 . interpretation @@ -32,10 +32,10 @@ interpretation (* Basic properties *********************************************************) (* Basic_2A1: includes: cpr_fpb *) -lemma cpm_fpb (n) (h) (G) (L): ∀T1,T2. ⦃G,L⦄ ⊢ T1 ➡[n,h] T2 → (T1 ≛ T2 → ⊥) → - ⦃G,L,T1⦄ ≻[h] ⦃G,L,T2⦄. +lemma cpm_fpb (n) (h) (G) (L): ∀T1,T2. ❪G,L❫ ⊢ T1 ➡[n,h] T2 → (T1 ≛ T2 → ⊥) → + ❪G,L,T1❫ ≻[h] ❪G,L,T2❫. /3 width=2 by fpb_cpx, cpm_fwd_cpx/ qed. -lemma lpr_fpb (h) (G) (T): ∀L1,L2. ⦃G,L1⦄ ⊢ ➡[h] L2 → (L1 ≛[T] L2 → ⊥) → - ⦃G,L1,T⦄ ≻[h] ⦃G,L2,T⦄. +lemma lpr_fpb (h) (G) (T): ∀L1,L2. ❪G,L1❫ ⊢ ➡[h] L2 → (L1 ≛[T] L2 → ⊥) → + ❪G,L1,T❫ ≻[h] ❪G,L2,T❫. /3 width=1 by fpb_lpx, lpr_fwd_lpx/ qed.