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=2befd1325c3d102543a5c43c893954c724deda0c;hb=6555775aa5268dec0d9ae4579412b659cacdc964;hp=5a29848ccc31b907e894284222919f998e53750e;hpb=5275f55f5ec528edbb223834f3ec2cf1d3ce9b84;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 5a29848cc..2befd1325 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 @@ -23,3 +23,12 @@ lemma fqus_fwd_fw: ∀G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ⊐* ⦃G2, L2, T2⦄ #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 * // +#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/ +qed-.