X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Freduction%2Fcpx_lift.ma;h=40f6e1e97b84894af4511dedc6e2001e72524515;hb=29973426e0227ee48368d1c24dc0c17bf2baef77;hp=30eef62624db79dddcac78c215ce82a548e83401;hpb=f95f6cb21b86f3dad114b21f687aa5df36088064;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/reduction/cpx_lift.ma b/matita/matita/contribs/lambdadelta/basic_2/reduction/cpx_lift.ma index 30eef6262..40f6e1e97 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/reduction/cpx_lift.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/reduction/cpx_lift.ma @@ -120,8 +120,8 @@ qed-. (* Properties on supclosure *************************************************) lemma fsupq_cpx_trans: ∀h,g,L1,L2,T1,T2. ⦃L1, T1⦄ ⊃⸮ ⦃L2, T2⦄ → - ∀U2. ⦃h, L2⦄ ⊢ T2 ➡[g] U2 → - ∃∃U1. ⦃h, L1⦄ ⊢ T1 ➡[g] U1 & ⦃L1, U1⦄ ⊃⸮ ⦃L2, U2⦄. + ∀U2. ⦃h, L2⦄ ⊢ T2 ➡[h, g] U2 → + ∃∃U1. ⦃h, L1⦄ ⊢ T1 ➡[h, g] U1 & ⦃L1, U1⦄ ⊃⸮ ⦃L2, U2⦄. #h #g #L1 #L2 #T1 #T2 #H elim H -L1 -L2 -T1 -T2 [1: /2 width=3/ |3,4,5: /3 width=3/ ] [ #I #L1 #V2 #U2 #HVU2 elim (lift_total U2 0 1) /4 width=9/ @@ -133,16 +133,16 @@ lemma fsupq_cpx_trans: ∀h,g,L1,L2,T1,T2. ⦃L1, T1⦄ ⊃⸮ ⦃L2, T2⦄ → qed-. lemma fsupq_ssta_trans: ∀h,g,L1,L2,T1,T2. ⦃L1, T1⦄ ⊃⸮ ⦃L2, T2⦄ → - ∀U2,l. ⦃h, L2⦄ ⊢ T2 •[g] ⦃l+1, U2⦄ → - ∃∃U1. ⦃h, L1⦄ ⊢ T1 ➡[g] U1 & ⦃L1, U1⦄ ⊃⸮ ⦃L2, U2⦄. + ∀U2,l. ⦃h, L2⦄ ⊢ T2 •[h, g] ⦃l+1, U2⦄ → + ∃∃U1. ⦃h, L1⦄ ⊢ T1 ➡[h, g] U1 & ⦃L1, U1⦄ ⊃⸮ ⦃L2, U2⦄. /3 width=4 by fsupq_cpx_trans, ssta_cpx/ qed-. lemma fsup_cpx_trans: ∀h,g,L1,L2,T1,T2. ⦃L1, T1⦄ ⊃ ⦃L2, T2⦄ → - ∀U2. ⦃h, L2⦄ ⊢ T2 ➡[g] U2 → - ∃∃U1. ⦃h, L1⦄ ⊢ T1 ➡[g] U1 & ⦃L1, U1⦄ ⊃⸮ ⦃L2, U2⦄. + ∀U2. ⦃h, L2⦄ ⊢ T2 ➡[h, g] U2 → + ∃∃U1. ⦃h, L1⦄ ⊢ T1 ➡[h, g] U1 & ⦃L1, U1⦄ ⊃⸮ ⦃L2, U2⦄. /3 width=3 by fsupq_cpx_trans, fsup_fsupq/ qed-. lemma fsup_ssta_trans: ∀h,g,L1,L2,T1,T2. ⦃L1, T1⦄ ⊃ ⦃L2, T2⦄ → - ∀U2,l. ⦃h, L2⦄ ⊢ T2 •[g] ⦃l+1, U2⦄ → - ∃∃U1. ⦃h, L1⦄ ⊢ T1 ➡[g] U1 & ⦃L1, U1⦄ ⊃⸮ ⦃L2, U2⦄. + ∀U2,l. ⦃h, L2⦄ ⊢ T2 •[h, g] ⦃l+1, U2⦄ → + ∃∃U1. ⦃h, L1⦄ ⊢ T1 ➡[h, g] U1 & ⦃L1, U1⦄ ⊃⸮ ⦃L2, U2⦄. /3 width=4 by fsupq_ssta_trans, fsup_fsupq/ qed-.