X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fs_computation%2Ffqus_weight.ma;h=335651bc4c86c44f7d28ce857e418c0eae955ede;hb=98fbba1b68d457807c73ebf70eb2a48696381da4;hp=2befd1325c3d102543a5c43c893954c724deda0c;hpb=65e6209e0758832835ba8d14304a1548d059a634;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/s_computation/fqus_weight.ma b/matita/matita/contribs/lambdadelta/basic_2/s_computation/fqus_weight.ma index 2befd1325..335651bc4 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/s_computation/fqus_weight.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/s_computation/fqus_weight.ma @@ -19,15 +19,16 @@ include "basic_2/s_computation/fqus.ma". (* Forward lemmas with weight for closures **********************************) -lemma fqus_fwd_fw: ∀G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ⊐* ⦃G2, L2, T2⦄ → ♯{G2, L2, T2} ≤ ♯{G1, L1, T1}. -#G1 #G2 #L1 #L2 #T1 #T2 #H @(fqus_ind … H) -L2 -T2 +lemma fqus_fwd_fw: ∀b,G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ⊐*[b] ⦃G2, L2, T2⦄ → + ♯{G2, L2, T2} ≤ ♯{G1, L1, T1}. +#b #G1 #G2 #L1 #L2 #T1 #T2 #H @(fqus_ind … H) -L2 -T2 /3 width=3 by fquq_fwd_fw, transitive_le/ qed-. (* Advanced inversion lemmas ************************************************) -lemma fqus_inv_refl_atom3: ∀I,G,L,X. ⦃G, L, ⓪{I}⦄ ⊐* ⦃G, L, X⦄ → ⓪{I} = X. -#I #G #L #X #H elim (fqus_inv_fqu_sn … H) -H * // +lemma fqus_inv_refl_atom3: ∀b,I,G,L,X. ⦃G, L, ⓪{I}⦄ ⊐*[b] ⦃G, L, X⦄ → ⓪{I} = X. +#b #I #G #L #X #H elim (fqus_inv_fqu_sn … H) -H * // #G0 #L0 #T0 #H1 #H2 lapply (fqu_fwd_fw … H1) lapply (fqus_fwd_fw … H2) -H2 -H1 #H2 #H1 lapply (le_to_lt_to_lt … H2 H1) -G0 -L0 -T0 #H elim (lt_le_false … H) -H /2 width=1 by monotonic_le_plus_r/