X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fground%2Frelocation%2Fpr_tls_pushs_eq.ma;h=37a657203bd56c50495c364bc53d58a89e24904a;hb=873fb39bdd21aa14877bf5d50db26e3a050c6d43;hp=31055e9adc531201ab371919a4220e45c8dabd61;hpb=503500ff9a6d9cca363a42b5fe7f3f5de69239f9;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/ground/relocation/pr_tls_pushs_eq.ma b/matita/matita/contribs/lambdadelta/ground/relocation/pr_tls_pushs_eq.ma index 31055e9ad..37a657203 100644 --- a/matita/matita/contribs/lambdadelta/ground/relocation/pr_tls_pushs_eq.ma +++ b/matita/matita/contribs/lambdadelta/ground/relocation/pr_tls_pushs_eq.ma @@ -21,8 +21,8 @@ include "ground/relocation/pr_pushs.ma". (*** eq_inv_pushs_sn *) lemma pr_eq_inv_pushs_sn (n): - ∀f1,g2. ⫯*[n] f1 ≡ g2 → - ∧∧ f1 ≡ ⫰*[n]g2 & ⫯*[n]⫰*[n]g2 = g2. + ∀f1,g2. ⫯*[n] f1 ≐ g2 → + ∧∧ f1 ≐ ⫰*[n]g2 & ⫯*[n]⫰*[n]g2 = g2. #n @(nat_ind_succ … n) -n /2 width=1 by conj/ #n #IH #f1 #g2 #H elim (pr_eq_inv_push_sn … H) -H [|*: // ] #Hf10 * @@ -32,8 +32,8 @@ qed-. (*** eq_inv_pushs_dx *) lemma pr_eq_inv_pushs_dx (n): - ∀f2,g1. g1 ≡ ⫯*[n] f2 → - ∧∧ ⫰*[n]g1 ≡ f2 & ⫯*[n]⫰*[n]g1 = g1. + ∀f2,g1. g1 ≐ ⫯*[n] f2 → + ∧∧ ⫰*[n]g1 ≐ f2 & ⫯*[n]⫰*[n]g1 = g1. #n @(nat_ind_succ … n) -n /2 width=1 by conj/ #n #IH #f2 #g1 #H elim (pr_eq_inv_push_dx … H) -H [|*: // ] #Hf02 *