X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fstatic_2%2Fstatic%2Ffeqg_fqus.ma;h=639d1824514510f2c7119b48c160b970d0d26c60;hb=e0c91d8a4422da0b39aca790e5826dc8a617b303;hp=33663faa0c8ea76cacd9b5260883798b1ae47113;hpb=e23331eef5817eaa6c5e1c442d1d6bbb18650573;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/static_2/static/feqg_fqus.ma b/matita/matita/contribs/lambdadelta/static_2/static/feqg_fqus.ma index 33663faa0..639d18245 100644 --- a/matita/matita/contribs/lambdadelta/static_2/static/feqg_fqus.ma +++ b/matita/matita/contribs/lambdadelta/static_2/static/feqg_fqus.ma @@ -21,9 +21,9 @@ include "static_2/static/feqg.ma". lemma feqg_fquq_trans (S) (b): reflexive … S → symmetric … S → Transitive … S → - ∀G1,G,L1,L,T1,T. ❪G1,L1,T1❫ ≛[S] ❪G,L,T❫ → - ∀G2,L2,T2. ❪G,L,T❫ ⬂⸮[b] ❪G2,L2,T2❫ → - ∃∃G,L0,T0. ❪G1,L1,T1❫ ⬂⸮[b] ❪G,L0,T0❫ & ❪G,L0,T0❫ ≛[S] ❪G2,L2,T2❫. + ∀G1,G,L1,L,T1,T. ❨G1,L1,T1❩ ≛[S] ❨G,L,T❩ → + ∀G2,L2,T2. ❨G,L,T❩ ⬂⸮[b] ❨G2,L2,T2❩ → + ∃∃G,L0,T0. ❨G1,L1,T1❩ ⬂⸮[b] ❨G,L0,T0❩ & ❨G,L0,T0❩ ≛[S] ❨G2,L2,T2❩. #S #b #H1S #H2S #H3S #G1 #G #L1 #L #T1 #T #H1 #G2 #L2 #T2 #H2 elim(feqg_inv_gen_dx … H1) -H1 // #HG #HL1 #HT1 destruct elim (reqg_fquq_trans … H2 … HL1) -L // #L #T0 #H2 #HT02 #HL2 @@ -34,9 +34,9 @@ qed-. lemma feqg_fqus_trans (S) (b): reflexive … S → symmetric … S → Transitive … S → - ∀G1,G,L1,L,T1,T. ❪G1,L1,T1❫ ≛[S] ❪G,L,T❫ → - ∀G2,L2,T2. ❪G,L,T❫ ⬂*[b] ❪G2,L2,T2❫ → - ∃∃G,L0,T0. ❪G1,L1,T1❫ ⬂*[b] ❪G,L0,T0❫ & ❪G,L0,T0❫ ≛[S] ❪G2,L2,T2❫. + ∀G1,G,L1,L,T1,T. ❨G1,L1,T1❩ ≛[S] ❨G,L,T❩ → + ∀G2,L2,T2. ❨G,L,T❩ ⬂*[b] ❨G2,L2,T2❩ → + ∃∃G,L0,T0. ❨G1,L1,T1❩ ⬂*[b] ❨G,L0,T0❩ & ❨G,L0,T0❩ ≛[S] ❨G2,L2,T2❩. #S #b #H1S #H2S #H3S #G1 #G #L1 #L #T1 #T #H1 #G2 #L2 #T2 #H2 elim(feqg_inv_gen_dx … H1) -H1 // #HG #HL1 #HT1 destruct elim (reqg_fqus_trans … H2 … HL1) -L // #L #T0 #H2 #HT02 #HL2