X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Flsubsx_lsubsx.ma;h=82038855e7d57fa1a93d5e4823642d2e9ff643c7;hb=f308429a0fde273605a2330efc63268b4ac36c99;hp=cf0daeaf4de0d6183f49f49c5dcbaffc61823d96;hpb=bc40346f09bcccb9a09560963ccb7157ebfad7ad;p=helm.git 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 cf0daeaf4..82038855e 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 @@ -14,13 +14,13 @@ include "basic_2/rt_computation/lsubsx.ma". -(* CLEAR OF STRONGLY NORMALIZING ENTRIES FOR UNCOUNTED RT-TRANSITION ********) +(* CLEAR OF STRONGLY NORMALIZING ENTRIES FOR UNBOUND RT-TRANSITION **********) (* 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-.