X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;ds=sidebyside;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_equivalence%2Fcpes.ma;h=911cb76fa7e492a0dd7acd9c72c7e041d434210e;hb=cfd201c62dd9b854bfb4ada648d3e556b29fac3a;hp=67f6144816fa61f4a82ddaf134a2cbca7ebcdb90;hpb=ca7327c20c6031829fade8bb84a3a1bb66113f54;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_equivalence/cpes.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_equivalence/cpes.ma index 67f614481..911cb76fa 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/rt_equivalence/cpes.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/rt_equivalence/cpes.ma @@ -20,7 +20,7 @@ include "basic_2/rt_computation/cpms.ma". (* Basic_2A1: uses: scpes *) definition cpes (h) (n1) (n2): relation4 genv lenv term term ≝ λG,L,T1,T2. - ∃∃T. ❪G,L❫ ⊢ T1 ➡*[h,n1] T & ❪G,L❫ ⊢ T2 ➡*[h,n2] T. + ∃∃T. ❨G,L❩ ⊢ T1 ➡*[h,n1] T & ❨G,L❩ ⊢ T2 ➡*[h,n2] T. interpretation "t-bound context-sensitive parallel rt-equivalence (term)" 'PConvStar h n1 n2 G L T1 T2 = (cpes h n1 n2 G L T1 T2). @@ -29,8 +29,8 @@ interpretation "t-bound context-sensitive parallel rt-equivalence (term)" (* Basic_2A1: uses: scpds_div *) lemma cpms_div (h) (n1) (n2): - ∀G,L,T1,T. ❪G,L❫ ⊢ T1 ➡*[h,n1] T → - ∀T2. ❪G,L❫ ⊢ T2 ➡*[h,n2] T → ❪G,L❫ ⊢ T1 ⬌*[h,n1,n2] T2. + ∀G,L,T1,T. ❨G,L❩ ⊢ T1 ➡*[h,n1] T → + ∀T2. ❨G,L❩ ⊢ T2 ➡*[h,n2] T → ❨G,L❩ ⊢ T1 ⬌*[h,n1,n2] T2. /2 width=3 by ex2_intro/ qed. lemma cpes_refl (h): ∀G,L. reflexive … (cpes h 0 0 G L). @@ -38,6 +38,6 @@ lemma cpes_refl (h): ∀G,L. reflexive … (cpes h 0 0 G L). (* Basic_2A1: uses: scpes_sym *) lemma cpes_sym (h) (n1) (n2): - ∀G,L,T1,T2. ❪G,L❫ ⊢ T1 ⬌*[h,n1,n2] T2 → ❪G,L❫ ⊢ T2 ⬌*[h,n2,n1] T1. + ∀G,L,T1,T2. ❨G,L❩ ⊢ T1 ⬌*[h,n1,n2] T2 → ❨G,L❩ ⊢ T2 ⬌*[h,n2,n1] T1. #h #n1 #n2 #G #L #T1 #T2 * /2 width=3 by cpms_div/ qed-.