X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fstatic_2%2Fi_static%2Frexs_fqup.ma;h=705338db358cfcb9294afdf7a18dd64e2b45060c;hp=fbb41879cf8d2827e0009108c50b82247625e7cc;hb=bd53c4e895203eb049e75434f638f26b5a161a2b;hpb=3b7b8afcb429a60d716d5226a5b6ab0d003228b1 diff --git a/matita/matita/contribs/lambdadelta/static_2/i_static/rexs_fqup.ma b/matita/matita/contribs/lambdadelta/static_2/i_static/rexs_fqup.ma index fbb41879c..705338db3 100644 --- a/matita/matita/contribs/lambdadelta/static_2/i_static/rexs_fqup.ma +++ b/matita/matita/contribs/lambdadelta/static_2/i_static/rexs_fqup.ma @@ -25,12 +25,12 @@ lemma rexs_refl: ∀R. c_reflexive … R → (* Basic_2A1: uses: TC_lpx_sn_pair TC_lpx_sn_pair_refl *) lemma rexs_pair_refl: ∀R. c_reflexive … R → - ∀L,V1,V2. CTC … R L V1 V2 → ∀I,T. L.ⓑ{I}V1 ⪤*[R,T] L.ⓑ{I}V2. + ∀L,V1,V2. CTC … R L V1 V2 → ∀I,T. L.ⓑ[I]V1 ⪤*[R,T] L.ⓑ[I]V2. #R #HR #L #V1 #V2 #H elim H -V2 /3 width=3 by rexs_step_dx, rex_pair_refl, inj/ qed. -lemma rexs_tc: ∀R,L1,L2,T,f. 𝐈⦃f⦄ → TC … (sex cfull (cext2 R) f) L1 L2 → +lemma rexs_tc: ∀R,L1,L2,T,f. 𝐈❪f❫ → TC … (sex cfull (cext2 R) f) L1 L2 → L1 ⪤*[R,T] L2. #R #L1 #L2 #T #f #Hf #H elim H -L2 [ elim (frees_total L1 T) | #L elim (frees_total L T) ] @@ -58,7 +58,7 @@ qed-. (* Advanced inversion lemmas ************************************************) lemma rexs_inv_bind_void: ∀R. c_reflexive … R → - ∀p,I,L1,L2,V,T. L1 ⪤*[R,ⓑ{p,I}V.T] L2 → + ∀p,I,L1,L2,V,T. L1 ⪤*[R,ⓑ[p,I]V.T] L2 → ∧∧ L1 ⪤*[R,V] L2 & L1.ⓧ ⪤*[R,T] L2.ⓧ. #R #HR #p #I #L1 #L2 #V #T #H @(rexs_ind_sn … HR … H) -L2 [ /3 width=1 by rexs_refl, conj/ @@ -69,7 +69,7 @@ qed-. (* Advanced forward lemmas **************************************************) lemma rexs_fwd_bind_dx_void: ∀R. c_reflexive … R → - ∀p,I,L1,L2,V,T. L1 ⪤*[R,ⓑ{p,I}V.T] L2 → + ∀p,I,L1,L2,V,T. L1 ⪤*[R,ⓑ[p,I]V.T] L2 → L1.ⓧ ⪤*[R,T] L2.ⓧ. #R #HR #p #I #L1 #L2 #V #T #H elim (rexs_inv_bind_void … H) -H // qed-.