X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fstatic%2Ffsle_drops.ma;h=7ca1aa2147144b326cf614c8b9b3e7a3c57021a2;hp=273a2755a452f79f87543ded34679571c62b27f4;hb=47a745462a714af9d65cea7b61af56524bd98fa1;hpb=990f97071a9939d47be16b36f6045d3b23f218e0 diff --git a/matita/matita/contribs/lambdadelta/basic_2/static/fsle_drops.ma b/matita/matita/contribs/lambdadelta/basic_2/static/fsle_drops.ma index 273a2755a..7ca1aa214 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/static/fsle_drops.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/static/fsle_drops.ma @@ -29,6 +29,15 @@ lapply (frees_lifts_SO (Ⓣ) (L1.ⓧ) … HTU1 … Hf) @(ex4_4_intro … Hf Hg) /2 width=4 by lveq_void_sn/ (**) (* explict constructor *) qed-. +lemma fsle_lifts_SO_sn: ∀K1,K2. |K1| = |K2| → ∀V1,V2. ⦃K1, V1⦄ ⊆ ⦃K2, V2⦄ → + ∀W1. ⬆*[1] V1 ≡ W1 → ∀I1,I2. ⦃K1.ⓘ{I1}, W1⦄ ⊆ ⦃K2.ⓑ{I2}V2, #O⦄. +#K1 #K2 #HK #V1 #V2 +* #n1 #n2 #f1 #f2 #Hf1 #Hf2 #HK12 #Hf12 +#W1 #HVW1 #I1 #I2 +elim (lveq_inj_length … HK12) // -HK #H1 #H2 destruct +/5 width=12 by frees_lifts_SO, frees_pair, drops_refl, drops_drop, lveq_bind, sle_weak, ex4_4_intro/ +qed. + lemma fsle_lifts_SO: ∀K1,K2. |K1| = |K2| → ∀T1,T2. ⦃K1, T1⦄ ⊆ ⦃K2, T2⦄ → ∀U1,U2. ⬆*[1] T1 ≡ U1 → ⬆*[1] T2 ≡ U2 → ∀I1,I2. ⦃K1.ⓘ{I1}, U1⦄ ⊆ ⦃K2.ⓘ{I2}, U2⦄.