X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frelocation%2Flpx_sn_ldrop.ma;h=2b44e20fb2eff348b6ac8e073c84baf8e5cb5a7b;hb=f282b35b958c9602fb1f47e5677b5805a046ac76;hp=1edda764020b36df4c0722ade52443f66c2945fa;hpb=cb5ca7ea4e826e9331eabeaea44353caab00071e;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/relocation/lpx_sn_ldrop.ma b/matita/matita/contribs/lambdadelta/basic_2/relocation/lpx_sn_ldrop.ma index 1edda7640..2b44e20fb 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/relocation/lpx_sn_ldrop.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/relocation/lpx_sn_ldrop.ma @@ -21,7 +21,7 @@ include "basic_2/relocation/lpx_sn.ma". lemma lpx_sn_ldrop_conf: ∀R,L1,L2. lpx_sn R L1 L2 → ∀I,K1,V1,i. ⇩[i] L1 ≡ K1.ⓑ{I}V1 → - ∃∃K2,V2. ⇩[i] L2 ≡ K2.ⓑ{I}V2 & lpx_sn R K1 K2 & R K1 V1 V2. + ∃∃K2,V2. ⇩[i] L2 ≡ K2.ⓑ{I}V2 & lpx_sn R K1 K2 & R I K1 V1 V2. #R #L1 #L2 #H elim H -L1 -L2 [ #I0 #K0 #V0 #i #H elim (ldrop_inv_atom1 … H) -H #H destruct | #I #K1 #K2 #V1 #V2 #HK12 #HV12 #IHK12 #I0 #K0 #V0 #i #H elim (ldrop_inv_O1_pair1 … H) * -H @@ -34,7 +34,7 @@ qed-. lemma lpx_sn_ldrop_trans: ∀R,L1,L2. lpx_sn R L1 L2 → ∀I,K2,V2,i. ⇩[i] L2 ≡ K2.ⓑ{I}V2 → - ∃∃K1,V1. ⇩[i] L1 ≡ K1.ⓑ{I}V1 & lpx_sn R K1 K2 & R K1 V1 V2. + ∃∃K1,V1. ⇩[i] L1 ≡ K1.ⓑ{I}V1 & lpx_sn R K1 K2 & R I K1 V1 V2. #R #L1 #L2 #H elim H -L1 -L2 [ #I0 #K0 #V0 #i #H elim (ldrop_inv_atom1 … H) -H #H destruct | #I #K1 #K2 #V1 #V2 #HK12 #HV12 #IHK12 #I0 #K0 #V0 #i #H elim (ldrop_inv_O1_pair1 … H) * -H @@ -45,7 +45,7 @@ lemma lpx_sn_ldrop_trans: ∀R,L1,L2. lpx_sn R L1 L2 → ] qed-. -lemma lpx_sn_deliftable_dropable: ∀R. l_deliftable_sn R → dropable_sn (lpx_sn R). +lemma lpx_sn_deliftable_dropable: ∀R. (∀I. l_deliftable_sn (R I)) → dropable_sn (lpx_sn R). #R #HR #L1 #K1 #s #d #e #H elim H -L1 -K1 -d -e [ #d #e #He #X #H >(lpx_sn_inv_atom1 … H) -H /4 width=3 by ldrop_atom, lpx_sn_atom, ex2_intro/ @@ -62,8 +62,8 @@ lemma lpx_sn_deliftable_dropable: ∀R. l_deliftable_sn R → dropable_sn (lpx_s ] qed-. -lemma lpx_sn_liftable_dedropable: ∀R. (∀L. reflexive ? (R L)) → - l_liftable R → dedropable_sn (lpx_sn R). +lemma lpx_sn_liftable_dedropable: ∀R. (∀I,L. reflexive ? (R I L)) → + (∀I. l_liftable (R I)) → dedropable_sn (lpx_sn R). #R #H1R #H2R #L1 #K1 #s #d #e #H elim H -L1 -K1 -d -e [ #d #e #He #X #H >(lpx_sn_inv_atom1 … H) -H /4 width=4 by ldrop_atom, lpx_sn_atom, ex3_intro/