X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Flsubsx_lsubsx.ma;h=0a06062e63f8f5cd3b2909a818cbd9ae11c2fe8c;hp=018e5c2627b8e796bf7b2e2b90f8d7df145d6b97;hb=4173283e148199871d787c53c0301891deb90713;hpb=a67fc50ccfda64377e2c94c18c3a0d9265f651db diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lsubsx_lsubsx.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lsubsx_lsubsx.ma index 018e5c262..0a06062e6 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lsubsx_lsubsx.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lsubsx_lsubsx.ma @@ -18,9 +18,9 @@ include "basic_2/rt_computation/lsubsx.ma". (* Main properties **********************************************************) -theorem lsubsx_fix: ∀h,o,f,G,L1,L. G ⊢ L1 ⊆ⓧ[h, o, f] L → - ∀L2. G ⊢ L ⊆ⓧ[h, o, f] L2 → L = L2. -#h #o #f #G #L1 #L #H elim H -f -L1 -L +theorem lsubsx_fix: ∀h,f,G,L1,L. G ⊢ L1 ⊆ⓧ[h, f] L → + ∀L2. G ⊢ L ⊆ⓧ[h, f] L2 → L = L2. +#h #f #G #L1 #L #H elim H -f -L1 -L [ #f #L2 #H >(lsubsx_inv_atom_sn … H) -L2 // | #f #I #K1 #K2 #_ #IH #L2 #H @@ -32,7 +32,7 @@ theorem lsubsx_fix: ∀h,o,f,G,L1,L. G ⊢ L1 ⊆ⓧ[h, o, f] L → ] qed-. -theorem lsubsx_trans: ∀h,o,f,G. Transitive … (lsubsx h o G f). -#h #o #f #G #L1 #L #H1 #L2 #H2 +theorem lsubsx_trans: ∀h,f,G. Transitive … (lsubsx h G f). +#h #f #G #L1 #L #H1 #L2 #H2 <(lsubsx_fix … H1 … H2) -L2 // qed-.