X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambda_delta%2Fbasic_2%2Fcomputation%2Fcprs_delift.ma;h=6b7892611150284fb0d5e36b4c08ba5a98607d29;hb=64207d0b4d80bcedcfbae0526ce635e993f027a7;hp=5ce6bb59c45ba792c30e475a7a806332f7f4b3ce;hpb=fec1a061eeca5e7e05b4f0c3e299983b163569c3;p=helm.git diff --git a/matita/matita/contribs/lambda_delta/basic_2/computation/cprs_delift.ma b/matita/matita/contribs/lambda_delta/basic_2/computation/cprs_delift.ma index 5ce6bb59c..6b7892611 100644 --- a/matita/matita/contribs/lambda_delta/basic_2/computation/cprs_delift.ma +++ b/matita/matita/contribs/lambda_delta/basic_2/computation/cprs_delift.ma @@ -21,15 +21,15 @@ include "basic_2/computation/cprs.ma". (* Properties on inverse basic term relocation ******************************) (* Note: this should be stated with tprs *) -lemma cprs_zeta_delift: ∀L,V,T1,T2. L.ⓓV ⊢ T1 ▼*[O, 1] ≡ T2 → L ⊢ ⓓV.T1 ➡* T2. +lemma cprs_zeta_delift: ∀L,V,T1,T2. L.ⓓV ⊢ ▼*[O, 1] T1 ≡ T2 → L ⊢ +ⓓV.T1 ➡* T2. #L #V #T1 #T2 * #T #HT1 #HT2 -@(cprs_strap2 … (ⓓV.T)) [ /3 width=3/ | @inj /3 width=3/ ] (**) (* explicit constructor, /5 width=3/ is too slow *) +@(cprs_strap2 … (+ⓓV.T)) [ /3 width=3/ | @inj /3 width=3/ ] (**) (* explicit constructor, /5 width=3/ is too slow *) qed. (* Basic_1: was only: pr3_gen_cabbr *) lemma thin_cprs_delift_conf: ∀L,U1,U2. L ⊢ U1 ➡* U2 → - ∀K,d,e. L ▼*[d, e] ≡ K → ∀T1. L ⊢ U1 ▼*[d, e] ≡ T1 → - ∃∃T2. K ⊢ T1 ➡* T2 & L ⊢ U2 ▼*[d, e] ≡ T2. + ∀K,d,e. ▼*[d, e] L ≡ K → ∀T1. L ⊢ ▼*[d, e] U1 ≡ T1 → + ∃∃T2. K ⊢ T1 ➡* T2 & L ⊢ ▼*[d, e] U2 ≡ T2. #L #U1 #U2 #H @(cprs_ind … H) -U2 /2 width=3/ #U #U2 #_ #HU2 #IHU1 #K #d #e #HLK #T1 #HTU1 elim (IHU1 … HLK … HTU1) -U1 #T #HT1 #HUT