X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fstatic%2Flsuba.ma;h=e1869f384adff45ed855edad6a355832d9f4d856;hb=c60524dec7ace912c416a90d6b926bee8553250b;hp=be272d27aad762dcae767606b899a7a3cb35fecc;hpb=f10cfe417b6b8ec1c7ac85c6ecf5fb1b3fdf37db;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/static/lsuba.ma b/matita/matita/contribs/lambdadelta/basic_2/static/lsuba.ma index be272d27a..e1869f384 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/static/lsuba.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/static/lsuba.ma @@ -100,19 +100,19 @@ lemma lsuba_refl: ∀G,L. G ⊢ L ⫃⁝ L. qed. (* Note: the constant 0 cannot be generalized *) -lemma lsuba_drop_O1_conf: ∀G,L1,L2. G ⊢ L1 ⫃⁝ L2 → ∀K1,s,e. ⬇[s, 0, e] L1 ≡ K1 → - ∃∃K2. G ⊢ K1 ⫃⁝ K2 & ⬇[s, 0, e] L2 ≡ K2. +lemma lsuba_drop_O1_conf: ∀G,L1,L2. G ⊢ L1 ⫃⁝ L2 → ∀K1,s,m. ⬇[s, 0, m] L1 ≡ K1 → + ∃∃K2. G ⊢ K1 ⫃⁝ K2 & ⬇[s, 0, m] L2 ≡ K2. #G #L1 #L2 #H elim H -L1 -L2 [ /2 width=3 by ex2_intro/ -| #I #L1 #L2 #V #_ #IHL12 #K1 #s #e #H - elim (drop_inv_O1_pair1 … H) -H * #He #HLK1 +| #I #L1 #L2 #V #_ #IHL12 #K1 #s #m #H + elim (drop_inv_O1_pair1 … H) -H * #Hm #HLK1 [ destruct elim (IHL12 L1 s 0) -IHL12 // #X #HL12 #H <(drop_inv_O2 … H) in HL12; -H /3 width=3 by lsuba_pair, drop_pair, ex2_intro/ | elim (IHL12 … HLK1) -L1 /3 width=3 by drop_drop_lt, ex2_intro/ ] -| #L1 #L2 #W #V #A #HV #HW #_ #IHL12 #K1 #s #e #H - elim (drop_inv_O1_pair1 … H) -H * #He #HLK1 +| #L1 #L2 #W #V #A #HV #HW #_ #IHL12 #K1 #s #m #H + elim (drop_inv_O1_pair1 … H) -H * #Hm #HLK1 [ destruct elim (IHL12 L1 s 0) -IHL12 // #X #HL12 #H <(drop_inv_O2 … H) in HL12; -H /3 width=3 by lsuba_beta, drop_pair, ex2_intro/ @@ -122,19 +122,19 @@ lemma lsuba_drop_O1_conf: ∀G,L1,L2. G ⊢ L1 ⫃⁝ L2 → ∀K1,s,e. ⬇[s, 0 qed-. (* Note: the constant 0 cannot be generalized *) -lemma lsuba_drop_O1_trans: ∀G,L1,L2. G ⊢ L1 ⫃⁝ L2 → ∀K2,s,e. ⬇[s, 0, e] L2 ≡ K2 → - ∃∃K1. G ⊢ K1 ⫃⁝ K2 & ⬇[s, 0, e] L1 ≡ K1. +lemma lsuba_drop_O1_trans: ∀G,L1,L2. G ⊢ L1 ⫃⁝ L2 → ∀K2,s,m. ⬇[s, 0, m] L2 ≡ K2 → + ∃∃K1. G ⊢ K1 ⫃⁝ K2 & ⬇[s, 0, m] L1 ≡ K1. #G #L1 #L2 #H elim H -L1 -L2 [ /2 width=3 by ex2_intro/ -| #I #L1 #L2 #V #_ #IHL12 #K2 #s #e #H - elim (drop_inv_O1_pair1 … H) -H * #He #HLK2 +| #I #L1 #L2 #V #_ #IHL12 #K2 #s #m #H + elim (drop_inv_O1_pair1 … H) -H * #Hm #HLK2 [ destruct elim (IHL12 L2 s 0) -IHL12 // #X #HL12 #H <(drop_inv_O2 … H) in HL12; -H /3 width=3 by lsuba_pair, drop_pair, ex2_intro/ | elim (IHL12 … HLK2) -L2 /3 width=3 by drop_drop_lt, ex2_intro/ ] -| #L1 #L2 #W #V #A #HV #HW #_ #IHL12 #K2 #s #e #H - elim (drop_inv_O1_pair1 … H) -H * #He #HLK2 +| #L1 #L2 #W #V #A #HV #HW #_ #IHL12 #K2 #s #m #H + elim (drop_inv_O1_pair1 … H) -H * #Hm #HLK2 [ destruct elim (IHL12 L2 s 0) -IHL12 // #X #HL12 #H <(drop_inv_O2 … H) in HL12; -H /3 width=3 by lsuba_beta, drop_pair, ex2_intro/