X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Fcsx_fqus.ma;h=6cb5944949d269e1c3204f5059c72c1ac6a0579f;hb=80ecd5486c6013f6c297173f41432fd1d93814ef;hp=2c4c560277abde1a15d754c9cf0c573062990dce;hpb=3c7b4071a9ac096b02334c1d47468776b948e2de;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_fqus.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_fqus.ma index 2c4c56027..6cb594494 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_fqus.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/csx_fqus.ma @@ -20,8 +20,8 @@ include "basic_2/rt_computation/csx_lsubr.ma". (* Properties with extended supclosure **************************************) lemma csx_fqu_conf (b): - ∀G1,G2,L1,L2,T1,T2. ❪G1,L1,T1❫ ⬂[b] ❪G2,L2,T2❫ → - ❪G1,L1❫ ⊢ ⬈*𝐒 T1 → ❪G2,L2❫ ⊢ ⬈*𝐒 T2. + ∀G1,G2,L1,L2,T1,T2. ❨G1,L1,T1❩ ⬂[b] ❨G2,L2,T2❩ → + ❨G1,L1❩ ⊢ ⬈*𝐒 T1 → ❨G2,L2❩ ⊢ ⬈*𝐒 T2. #b #G1 #G2 #L1 #L2 #T1 #T2 #H elim H -G1 -G2 -L1 -L2 -T1 -T2 [ /3 width=5 by csx_inv_lref_pair_drops, drops_refl/ | /2 width=3 by csx_fwd_pair_sn/ @@ -33,22 +33,22 @@ lemma csx_fqu_conf (b): qed-. lemma csx_fquq_conf (b): - ∀G1,G2,L1,L2,T1,T2. ❪G1,L1,T1❫ ⬂⸮[b] ❪G2,L2,T2❫ → - ❪G1,L1❫ ⊢ ⬈*𝐒 T1 → ❪G2,L2❫ ⊢ ⬈*𝐒 T2. + ∀G1,G2,L1,L2,T1,T2. ❨G1,L1,T1❩ ⬂⸮[b] ❨G2,L2,T2❩ → + ❨G1,L1❩ ⊢ ⬈*𝐒 T1 → ❨G2,L2❩ ⊢ ⬈*𝐒 T2. #b #G1 #G2 #L1 #L2 #T1 #T2 * /2 width=6 by csx_fqu_conf/ * #HG #HL #HT destruct // qed-. lemma csx_fqup_conf (b): - ∀G1,G2,L1,L2,T1,T2. ❪G1,L1,T1❫ ⬂+[b] ❪G2,L2,T2❫ → - ❪G1,L1❫ ⊢ ⬈*𝐒 T1 → ❪G2,L2❫ ⊢ ⬈*𝐒 T2. + ∀G1,G2,L1,L2,T1,T2. ❨G1,L1,T1❩ ⬂+[b] ❨G2,L2,T2❩ → + ❨G1,L1❩ ⊢ ⬈*𝐒 T1 → ❨G2,L2❩ ⊢ ⬈*𝐒 T2. #b #G1 #G2 #L1 #L2 #T1 #T2 #H @(fqup_ind … H) -G2 -L2 -T2 /3 width=6 by csx_fqu_conf/ qed-. lemma csx_fqus_conf (b): - ∀G1,G2,L1,L2,T1,T2. ❪G1,L1,T1❫ ⬂*[b] ❪G2,L2,T2❫ → - ❪G1,L1❫ ⊢ ⬈*𝐒 T1 → ❪G2,L2❫ ⊢ ⬈*𝐒 T2. + ∀G1,G2,L1,L2,T1,T2. ❨G1,L1,T1❩ ⬂*[b] ❨G2,L2,T2❩ → + ❨G1,L1❩ ⊢ ⬈*𝐒 T1 → ❨G2,L2❩ ⊢ ⬈*𝐒 T2. #b #G1 #G2 #L1 #L2 #T1 #T2 #H @(fqus_ind … H) -H /3 width=6 by csx_fquq_conf/ qed-.