X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fstatic_2%2Fstatic%2Ffeqx.ma;h=82867f62637bfd2626be4c8fda571ef685eca021;hp=2ec73d338dd37fd4b0a45d513c3f44d7673c5809;hb=647504aa72b84eb49be8177b88a9254174e84d4b;hpb=b2cdc4abd9ac87e39bc51b0d9c38daea179adbd5 diff --git a/matita/matita/contribs/lambdadelta/static_2/static/feqx.ma b/matita/matita/contribs/lambdadelta/static_2/static/feqx.ma index 2ec73d338..82867f626 100644 --- a/matita/matita/contribs/lambdadelta/static_2/static/feqx.ma +++ b/matita/matita/contribs/lambdadelta/static_2/static/feqx.ma @@ -24,26 +24,29 @@ inductive feqx (G) (L1) (T1): relation3 genv lenv term ≝ . interpretation - "sort-irrelevant equivalence on referred entries (closure)" - 'StarEqSn G1 L1 T1 G2 L2 T2 = (feqx G1 L1 T1 G2 L2 T2). + "sort-irrelevant equivalence on referred entries (closure)" + 'StarEqSn G1 L1 T1 G2 L2 T2 = (feqx G1 L1 T1 G2 L2 T2). (* Basic_properties *********************************************************) -lemma feqx_intro_dx (G): ∀L1,L2,T2. L1 ≛[T2] L2 → - ∀T1. T1 ≛ T2 → ❪G,L1,T1❫ ≛ ❪G,L2,T2❫. +lemma feqx_intro_dx (G): + ∀L1,L2,T2. L1 ≛[T2] L2 → + ∀T1. T1 ≛ T2 → ❪G,L1,T1❫ ≛ ❪G,L2,T2❫. /3 width=3 by feqx_intro_sn, teqx_reqx_div/ qed. (* Basic inversion lemmas ***************************************************) -lemma feqx_inv_gen_sn: ∀G1,G2,L1,L2,T1,T2. ❪G1,L1,T1❫ ≛ ❪G2,L2,T2❫ → - ∧∧ G1 = G2 & L1 ≛[T1] L2 & T1 ≛ T2. +lemma feqx_inv_gen_sn: + ∀G1,G2,L1,L2,T1,T2. ❪G1,L1,T1❫ ≛ ❪G2,L2,T2❫ → + ∧∧ G1 = G2 & L1 ≛[T1] L2 & T1 ≛ T2. #G1 #G2 #L1 #L2 #T1 #T2 * -G2 -L2 -T2 /2 width=1 by and3_intro/ qed-. -lemma feqx_inv_gen_dx: ∀G1,G2,L1,L2,T1,T2. ❪G1,L1,T1❫ ≛ ❪G2,L2,T2❫ → - ∧∧ G1 = G2 & L1 ≛[T2] L2 & T1 ≛ T2. +lemma feqx_inv_gen_dx: + ∀G1,G2,L1,L2,T1,T2. ❪G1,L1,T1❫ ≛ ❪G2,L2,T2❫ → + ∧∧ G1 = G2 & L1 ≛[T2] L2 & T1 ≛ T2. #G1 #G2 #L1 #L2 #T1 #T2 * -G2 -L2 -T2 -/3 width=3 by teqx_reqx_conf, and3_intro/ +/3 width=3 by teqx_reqx_conf_sn, and3_intro/ qed-. (* Basic_2A1: removed theorems 6: