X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fstatic_2%2Frelocation%2Fdrops_seq.ma;h=8047fdd68a941b5ed2fde99f0c2ed24f8fc0603b;hp=af2c4ef8821fe163f8e82c803bb793d31c2e1e63;hb=bd53c4e895203eb049e75434f638f26b5a161a2b;hpb=3b7b8afcb429a60d716d5226a5b6ab0d003228b1 diff --git a/matita/matita/contribs/lambdadelta/static_2/relocation/drops_seq.ma b/matita/matita/contribs/lambdadelta/static_2/relocation/drops_seq.ma index af2c4ef88..8047fdd68 100644 --- a/matita/matita/contribs/lambdadelta/static_2/relocation/drops_seq.ma +++ b/matita/matita/contribs/lambdadelta/static_2/relocation/drops_seq.ma @@ -30,9 +30,9 @@ lemma seq_co_dropable_dx: co_dropable_dx seq. (* Basic_2A1: includes: lreq_drop_trans_be *) lemma seq_drops_trans_next: ∀f2,L1,L2. L1 ≡[f2] L2 → - ∀b,f,I,K2. ⇩*[b,f] L2 ≘ K2.ⓘ{I} → 𝐔⦃f⦄ → + ∀b,f,I,K2. ⇩*[b,f] L2 ≘ K2.ⓘ[I] → 𝐔❪f❫ → ∀f1. f ~⊚ ↑f1 ≘ f2 → - ∃∃K1. ⇩*[b,f] L1 ≘ K1.ⓘ{I} & K1 ≡[f1] K2. + ∃∃K1. ⇩*[b,f] L1 ≘ K1.ⓘ[I] & K1 ≡[f1] K2. #f2 #L1 #L2 #HL12 #b #f #I2 #K2 #HLK2 #Hf #f1 #Hf2 elim (sex_drops_trans_next … HL12 … HLK2 Hf … Hf2) -f2 -L2 -Hf #I1 #K1 #HLK1 #HK12 #H <(ceq_ext_inv_eq … H) -I2 @@ -41,18 +41,18 @@ qed-. (* Basic_2A1: includes: lreq_drop_conf_be *) lemma seq_drops_conf_next: ∀f2,L1,L2. L1 ≡[f2] L2 → - ∀b,f,I,K1. ⇩*[b,f] L1 ≘ K1.ⓘ{I} → 𝐔⦃f⦄ → + ∀b,f,I,K1. ⇩*[b,f] L1 ≘ K1.ⓘ[I] → 𝐔❪f❫ → ∀f1. f ~⊚ ↑f1 ≘ f2 → - ∃∃K2. ⇩*[b,f] L2 ≘ K2.ⓘ{I} & K1 ≡[f1] K2. + ∃∃K2. ⇩*[b,f] L2 ≘ K2.ⓘ[I] & K1 ≡[f1] K2. #f2 #L1 #L2 #HL12 #b #f #I1 #K1 #HLK1 #Hf #f1 #Hf2 elim (seq_drops_trans_next … (seq_sym … HL12) … HLK1 … Hf2) // -f2 -L1 -Hf /3 width=3 by seq_sym, ex2_intro/ qed-. lemma drops_seq_trans_next: ∀f1,K1,K2. K1 ≡[f1] K2 → - ∀b,f,I,L1. ⇩*[b,f] L1.ⓘ{I} ≘ K1 → + ∀b,f,I,L1. ⇩*[b,f] L1.ⓘ[I] ≘ K1 → ∀f2. f ~⊚ f1 ≘ ↑f2 → - ∃∃L2. ⇩*[b,f] L2.ⓘ{I} ≘ K2 & L1 ≡[f2] L2 & L1.ⓘ{I} ≡[f] L2.ⓘ{I}. + ∃∃L2. ⇩*[b,f] L2.ⓘ[I] ≘ K2 & L1 ≡[f2] L2 & L1.ⓘ[I] ≡[f] L2.ⓘ[I]. #f1 #K1 #K2 #HK12 #b #f #I1 #L1 #HLK1 #f2 #Hf2 elim (drops_sex_trans_next … HK12 … HLK1 … Hf2) -f1 -K1 /2 width=6 by cfull_lift_sn, ceq_lift_sn/