X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Freduction%2Fcnx_lift.ma;h=121b0d5e262cc78c2c1a4074bcdd5fae0dd6ad4c;hb=93bba1c94779e83184d111cd077d4167e42a74aa;hp=e66223cace592e819498ad35dab52c5fe6e5ca2e;hpb=9a023f554e56d6edbbb2eeaf17ce61e31857ef4a;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/reduction/cnx_lift.ma b/matita/matita/contribs/lambdadelta/basic_2/reduction/cnx_lift.ma index e66223cac..121b0d5e2 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/reduction/cnx_lift.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/reduction/cnx_lift.ma @@ -19,19 +19,19 @@ include "basic_2/reduction/cnx.ma". (* Relocation properties ****************************************************) -lemma cnx_lift: ∀h,g,G,L0,L,T,T0,s,l,m. ⦃G, L⦄ ⊢ ➡[h, g] 𝐍⦃T⦄ → ⬇[s, l, m] L0 ≡ L → - ⬆[l, m] T ≡ T0 → ⦃G, L0⦄ ⊢ ➡[h, g] 𝐍⦃T0⦄. -#h #g #G #L0 #L #T #T0 #s #l #m #HLT #HL0 #HT0 #X #H +lemma cnx_lift: ∀h,o,G,L0,L,T,T0,c,l,k. ⦃G, L⦄ ⊢ ➡[h, o] 𝐍⦃T⦄ → ⬇[c, l, k] L0 ≡ L → + ⬆[l, k] T ≡ T0 → ⦃G, L0⦄ ⊢ ➡[h, o] 𝐍⦃T0⦄. +#h #o #G #L0 #L #T #T0 #c #l #k #HLT #HL0 #HT0 #X #H elim (cpx_inv_lift1 … H … HL0 … HT0) -L0 #T1 #HT10 #HT1 <(HLT … HT1) in HT0; -L #HT0 >(lift_mono … HT10 … HT0) -T1 -X // qed. -lemma cnx_inv_lift: ∀h,g,G,L0,L,T,T0,s,l,m. ⦃G, L0⦄ ⊢ ➡[h, g] 𝐍⦃T0⦄ → ⬇[s, l, m] L0 ≡ L → - ⬆[l, m] T ≡ T0 → ⦃G, L⦄ ⊢ ➡[h, g] 𝐍⦃T⦄. -#h #g #G #L0 #L #T #T0 #s #l #m #HLT0 #HL0 #HT0 #X #H -elim (lift_total X l m) #X0 #HX0 +lemma cnx_inv_lift: ∀h,o,G,L0,L,T,T0,c,l,k. ⦃G, L0⦄ ⊢ ➡[h, o] 𝐍⦃T0⦄ → ⬇[c, l, k] L0 ≡ L → + ⬆[l, k] T ≡ T0 → ⦃G, L⦄ ⊢ ➡[h, o] 𝐍⦃T⦄. +#h #o #G #L0 #L #T #T0 #c #l #k #HLT0 #HL0 #HT0 #X #H +elim (lift_total X l k) #X0 #HX0 lapply (cpx_lift … H … HL0 … HT0 … HX0) -L #HTX0 >(HLT0 … HTX0) in HX0; -L0 -X0 #H ->(lift_inj … H … HT0) -T0 -X -l -m // +>(lift_inj … H … HT0) -T0 -X -l -k // qed-.