X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Freduction%2Ffpbq.ma;h=c8be983841b383c4ce53548b0b0bd5f80d8b48c4;hb=93bba1c94779e83184d111cd077d4167e42a74aa;hp=3e417b72369769d17acfad1f8de62964468fcca8;hpb=9a023f554e56d6edbbb2eeaf17ce61e31857ef4a;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/reduction/fpbq.ma b/matita/matita/contribs/lambdadelta/basic_2/reduction/fpbq.ma index 3e417b723..c8be98384 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/reduction/fpbq.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/reduction/fpbq.ma @@ -19,24 +19,24 @@ include "basic_2/reduction/lpx.ma". (* "QRST" PARALLEL REDUCTION FOR CLOSURES ***********************************) -inductive fpbq (h) (g) (G1) (L1) (T1): relation3 genv lenv term ≝ -| fpbq_fquq: ∀G2,L2,T2. ⦃G1, L1, T1⦄ ⊐⸮ ⦃G2, L2, T2⦄ → fpbq h g G1 L1 T1 G2 L2 T2 -| fpbq_cpx : ∀T2. ⦃G1, L1⦄ ⊢ T1 ➡[h, g] T2 → fpbq h g G1 L1 T1 G1 L1 T2 -| fpbq_lpx : ∀L2. ⦃G1, L1⦄ ⊢ ➡[h, g] L2 → fpbq h g G1 L1 T1 G1 L2 T1 -| fpbq_lleq: ∀L2. L1 ≡[T1, 0] L2 → fpbq h g G1 L1 T1 G1 L2 T1 +inductive fpbq (h) (o) (G1) (L1) (T1): relation3 genv lenv term ≝ +| fpbq_fquq: ∀G2,L2,T2. ⦃G1, L1, T1⦄ ⊐⸮ ⦃G2, L2, T2⦄ → fpbq h o G1 L1 T1 G2 L2 T2 +| fpbq_cpx : ∀T2. ⦃G1, L1⦄ ⊢ T1 ➡[h, o] T2 → fpbq h o G1 L1 T1 G1 L1 T2 +| fpbq_lpx : ∀L2. ⦃G1, L1⦄ ⊢ ➡[h, o] L2 → fpbq h o G1 L1 T1 G1 L2 T1 +| fpbq_lleq: ∀L2. L1 ≡[T1, 0] L2 → fpbq h o G1 L1 T1 G1 L2 T1 . interpretation "'qrst' parallel reduction (closure)" - 'BTPRed h g G1 L1 T1 G2 L2 T2 = (fpbq h g G1 L1 T1 G2 L2 T2). + 'BTPRed h o G1 L1 T1 G2 L2 T2 = (fpbq h o G1 L1 T1 G2 L2 T2). (* Basic properties *********************************************************) -lemma fpbq_refl: ∀h,g. tri_reflexive … (fpbq h g). +lemma fpbq_refl: ∀h,o. tri_reflexive … (fpbq h o). /2 width=1 by fpbq_cpx/ qed. -lemma cpr_fpbq: ∀h,g,G,L,T1,T2. ⦃G, L⦄ ⊢ T1 ➡ T2 → ⦃G, L, T1⦄ ≽[h, g] ⦃G, L, T2⦄. +lemma cpr_fpbq: ∀h,o,G,L,T1,T2. ⦃G, L⦄ ⊢ T1 ➡ T2 → ⦃G, L, T1⦄ ≽[h, o] ⦃G, L, T2⦄. /3 width=1 by fpbq_cpx, cpr_cpx/ qed. -lemma lpr_fpbq: ∀h,g,G,L1,L2,T. ⦃G, L1⦄ ⊢ ➡ L2 → ⦃G, L1, T⦄ ≽[h, g] ⦃G, L2, T⦄. +lemma lpr_fpbq: ∀h,o,G,L1,L2,T. ⦃G, L1⦄ ⊢ ➡ L2 → ⦃G, L1, T⦄ ≽[h, o] ⦃G, L2, T⦄. /3 width=1 by fpbq_lpx, lpr_lpx/ qed.