X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fstatic%2Flsuba.ma;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fstatic%2Flsuba.ma;h=e996418dc04f90e785d1c44cf96fa16f3a515f5b;hb=52e675f555f559c047d5449db7fc89a51b977d35;hp=a353d95dfb10169a7bbcff032ad8912e3abb5c8a;hpb=75fac6d60f67a4dfa38ea6c2cc45a18eda5d8996;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 a353d95df..e996418dc 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/static/lsuba.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/static/lsuba.ma @@ -100,45 +100,45 @@ lemma lsuba_refl: ∀G,L. G ⊢ L ⁝⫃ L. qed. (* Note: the constant 0 cannot be generalized *) -lemma lsuba_ldrop_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,e. ⇩[s, 0, e] L1 ≡ K1 → + ∃∃K2. G ⊢ K1 ⁝⫃ K2 & ⇩[s, 0, e] 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 (ldrop_inv_O1_pair1 … H) -H * #He #HLK1 + elim (drop_inv_O1_pair1 … H) -H * #He #HLK1 [ destruct elim (IHL12 L1 s 0) -IHL12 // #X #HL12 #H - <(ldrop_inv_O2 … H) in HL12; -H /3 width=3 by lsuba_pair, ldrop_pair, ex2_intro/ - | elim (IHL12 … HLK1) -L1 /3 width=3 by ldrop_drop_lt, ex2_intro/ + <(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 (ldrop_inv_O1_pair1 … H) -H * #He #HLK1 + elim (drop_inv_O1_pair1 … H) -H * #He #HLK1 [ destruct elim (IHL12 L1 s 0) -IHL12 // #X #HL12 #H - <(ldrop_inv_O2 … H) in HL12; -H /3 width=3 by lsuba_abbr, ldrop_pair, ex2_intro/ - | elim (IHL12 … HLK1) -L1 /3 width=3 by ldrop_drop_lt, ex2_intro/ + <(drop_inv_O2 … H) in HL12; -H /3 width=3 by lsuba_abbr, drop_pair, ex2_intro/ + | elim (IHL12 … HLK1) -L1 /3 width=3 by drop_drop_lt, ex2_intro/ ] ] qed-. (* Note: the constant 0 cannot be generalized *) -lemma lsuba_ldrop_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,e. ⇩[s, 0, e] L2 ≡ K2 → + ∃∃K1. G ⊢ K1 ⁝⫃ K2 & ⇩[s, 0, e] 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 (ldrop_inv_O1_pair1 … H) -H * #He #HLK2 + elim (drop_inv_O1_pair1 … H) -H * #He #HLK2 [ destruct elim (IHL12 L2 s 0) -IHL12 // #X #HL12 #H - <(ldrop_inv_O2 … H) in HL12; -H /3 width=3 by lsuba_pair, ldrop_pair, ex2_intro/ - | elim (IHL12 … HLK2) -L2 /3 width=3 by ldrop_drop_lt, ex2_intro/ + <(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 (ldrop_inv_O1_pair1 … H) -H * #He #HLK2 + elim (drop_inv_O1_pair1 … H) -H * #He #HLK2 [ destruct elim (IHL12 L2 s 0) -IHL12 // #X #HL12 #H - <(ldrop_inv_O2 … H) in HL12; -H /3 width=3 by lsuba_abbr, ldrop_pair, ex2_intro/ - | elim (IHL12 … HLK2) -L2 /3 width=3 by ldrop_drop_lt, ex2_intro/ + <(drop_inv_O2 … H) in HL12; -H /3 width=3 by lsuba_abbr, drop_pair, ex2_intro/ + | elim (IHL12 … HLK2) -L2 /3 width=3 by drop_drop_lt, ex2_intro/ ] ] qed-.