X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;ds=sidebyside;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fcomputation%2Flsubc_ldrop.ma;h=2c352dc897065b59af89473183c304d18f5c001e;hb=e76eade57c0454a58b0d58e5484efe9af417847e;hp=60b58598b8f57513f17543005d7932d05dd71871;hpb=f62eeb3c7824564ccbe4fff6e75ddee46ca39cc0;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/computation/lsubc_ldrop.ma b/matita/matita/contribs/lambdadelta/basic_2/computation/lsubc_ldrop.ma index 60b58598b..2c352dc89 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/computation/lsubc_ldrop.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/computation/lsubc_ldrop.ma @@ -21,9 +21,9 @@ include "basic_2/computation/lsubc.ma". (* Basic_1: was: csubc_drop_conf_O *) (* Note: the constant 0 can not be generalized *) -lemma lsubc_ldrop_O1_trans: ∀RP,L1,L2. L1 ⊑[RP] L2 → ∀K2,e. ⇩[0, e] L2 ≡ K2 → - ∃∃K1. ⇩[0, e] L1 ≡ K1 & K1 ⊑[RP] K2. -#RP #L1 #L2 #H elim H -L1 -L2 +lemma lsubc_ldrop_O1_trans: ∀RP,G,L1,L2. G ⊢ L1 ⊑[RP] L2 → ∀K2,e. ⇩[0, e] L2 ≡ K2 → + ∃∃K1. ⇩[0, e] L1 ≡ K1 & G ⊢ K1 ⊑[RP] K2. +#RP #G #L1 #L2 #H elim H -L1 -L2 [ #X #e #H elim (ldrop_inv_atom1 … H) -H /2 width=3/ | #I #L1 #L2 #V #_ #IHL12 #X #e #H elim (ldrop_inv_O1_pair1 … H) -H * #He #H destruct @@ -39,10 +39,10 @@ qed-. (* Basic_1: was: csubc_drop_conf_rev *) lemma ldrop_lsubc_trans: ∀RR,RS,RP. - acp RR RS RP → acr RR RS RP (λL,T. RP L T) → - ∀L1,K1,d,e. ⇩[d, e] L1 ≡ K1 → ∀K2. K1 ⊑[RP] K2 → - ∃∃L2. L1 ⊑[RP] L2 & ⇩[d, e] L2 ≡ K2. -#RR #RS #RP #Hacp #Hacr #L1 #K1 #d #e #H elim H -L1 -K1 -d -e + acp RR RS RP → acr RR RS RP (λG,L,T. RP G L T) → + ∀G,L1,K1,d,e. ⇩[d, e] L1 ≡ K1 → ∀K2. G ⊢ K1 ⊑[RP] K2 → + ∃∃L2. G ⊢ L1 ⊑[RP] L2 & ⇩[d, e] L2 ≡ K2. +#RR #RS #RP #Hacp #Hacr #G #L1 #K1 #d #e #H elim H -L1 -K1 -d -e [ #d #X #H elim (lsubc_inv_atom1 … H) -H /2 width=3/ | #L1 #I #V1 #X #H elim (lsubc_inv_pair1 … H) -H *