X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fstatic_2%2Fstatic%2Flsuba_drops.ma;h=49040fe5e59000cfce42ab5ae4ad5d48440969cc;hb=bd53c4e895203eb049e75434f638f26b5a161a2b;hp=86d3a1bb90ecb2273ca3a32eb60723d71392ea74;hpb=f308429a0fde273605a2330efc63268b4ac36c99;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/static_2/static/lsuba_drops.ma b/matita/matita/contribs/lambdadelta/static_2/static/lsuba_drops.ma index 86d3a1bb9..49040fe5e 100644 --- a/matita/matita/contribs/lambdadelta/static_2/static/lsuba_drops.ma +++ b/matita/matita/contribs/lambdadelta/static_2/static/lsuba_drops.ma @@ -19,11 +19,11 @@ include "static_2/static/lsuba.ma". (* Properties with generic slicing for local environments *******************) -(* Note: the premise 𝐔⦃f⦄ cannot be removed *) +(* Note: the premise 𝐔❪f❫ cannot be removed *) (* Basic_2A1: includes: lsuba_drop_O1_conf *) -lemma lsuba_drops_conf_isuni: ∀G,L1,L2. G ⊢ L1 ⫃⁝ L2 → - ∀b,f,K1. 𝐔⦃f⦄ → ⬇*[b,f] L1 ≘ K1 → - ∃∃K2. G ⊢ K1 ⫃⁝ K2 & ⬇*[b,f] L2 ≘ K2. +lemma lsuba_drops_conf_isuni: ∀G,L1,L2. G ⊢ L1 ⫃⁝ L2 → + ∀b,f,K1. 𝐔❪f❫ → ⇩*[b,f] L1 ≘ K1 → + ∃∃K2. G ⊢ K1 ⫃⁝ K2 & ⇩*[b,f] L2 ≘ K2. #G #L1 #L2 #H elim H -L1 -L2 [ /2 width=3 by ex2_intro/ | #I #L1 #L2 #HL12 #IH #b #f #K1 #Hf #H @@ -43,11 +43,11 @@ lemma lsuba_drops_conf_isuni: ∀G,L1,L2. G ⊢ L1 ⫃⁝ L2 → ] qed-. -(* Note: the premise 𝐔⦃f⦄ cannot be removed *) +(* Note: the premise 𝐔❪f❫ cannot be removed *) (* Basic_2A1: includes: lsuba_drop_O1_trans *) lemma lsuba_drops_trans_isuni: ∀G,L1,L2. G ⊢ L1 ⫃⁝ L2 → - ∀b,f,K2. 𝐔⦃f⦄ → ⬇*[b,f] L2 ≘ K2 → - ∃∃K1. G ⊢ K1 ⫃⁝ K2 & ⬇*[b,f] L1 ≘ K1. + ∀b,f,K2. 𝐔❪f❫ → ⇩*[b,f] L2 ≘ K2 → + ∃∃K1. G ⊢ K1 ⫃⁝ K2 & ⇩*[b,f] L1 ≘ K1. #G #L1 #L2 #H elim H -L1 -L2 [ /2 width=3 by ex2_intro/ | #I #L1 #L2 #HL12 #IH #b #f #K2 #Hf #H