X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Ffsb.ma;h=72c73ae87ea0fe4b55be75eb276178d9cfcc40de;hb=57ae1762497a5f3ea75740e2908e04adb8642cc2;hp=936fabecadf84c56f9c305a216e7b062f8283f46;hpb=4173283e148199871d787c53c0301891deb90713;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fsb.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fsb.ma index 936fabeca..72c73ae87 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fsb.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fsb.ma @@ -19,7 +19,7 @@ include "basic_2/rt_transition/fpb.ma". inductive fsb (h): relation3 genv lenv term ≝ | fsb_intro: ∀G1,L1,T1. ( - ∀G2,L2,T2. ⦃G1, L1, T1⦄ ≻[h] ⦃G2, L2, T2⦄ → fsb h G2 L2 T2 + ∀G2,L2,T2. ❪G1,L1,T1❫ ≻[h] ❪G2,L2,T2❫ → fsb h G2 L2 T2 ) → fsb h G1 L1 T1 . @@ -30,13 +30,13 @@ interpretation (* Basic eliminators ********************************************************) (* Note: eliminator with shorter ground hypothesis *) -(* Note: to be named fsb_ind when fsb becomes a definition like csx, lfsx ***) -lemma fsb_ind_alt: ∀h. ∀Q: relation3 …. ( - ∀G1,L1,T1. ≥[h] 𝐒⦃G1, L1, T1⦄ → ( - ∀G2,L2,T2. ⦃G1, L1, T1⦄ ≻[h] ⦃G2, L2, T2⦄ → Q G2 L2 T2 - ) → Q G1 L1 T1 - ) → - ∀G,L,T. ≥[h] 𝐒⦃G, L, T⦄ → Q G L T. +(* Note: to be named fsb_ind when fsb becomes a definition like csx, rsx ****) +lemma fsb_ind_alt (h) (Q:relation3 …): + (∀G1,L1,T1. ≥𝐒[h] ❪G1,L1,T1❫ → + (∀G2,L2,T2. ❪G1,L1,T1❫ ≻[h] ❪G2,L2,T2❫ → Q G2 L2 T2) → + Q G1 L1 T1 + ) → + ∀G,L,T. ≥𝐒[h] ❪G,L,T❫ → Q G L T. #h #Q #IH #G #L #T #H elim H -G -L -T /4 width=1 by fsb_intro/ qed-.