X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Flprs_lpr.ma;h=6424733db5b25067a5c7c1815c325f27961bb158;hp=ea0456434b7cd0da409de24134690f0fee2113a6;hb=bd53c4e895203eb049e75434f638f26b5a161a2b;hpb=3b7b8afcb429a60d716d5226a5b6ab0d003228b1

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lprs_lpr.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lprs_lpr.ma
index ea0456434..6424733db 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lprs_lpr.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/lprs_lpr.ma
@@ -20,29 +20,29 @@ include "basic_2/rt_computation/lprs_tc.ma".
 
 (* Basic_2A1: was: lprs_ind_dx *)
 lemma lprs_ind_sn (h) (G) (L2): ∀Q:predicate lenv. Q L2 →
-                                (∀L1,L. ⦃G,L1⦄ ⊢ ➡[h] L → ⦃G,L⦄ ⊢ ➡*[h] L2 → Q L → Q L1) →
-                                ∀L1. ⦃G,L1⦄ ⊢ ➡*[h] L2 → Q L1.
+                                (∀L1,L. ❪G,L1❫ ⊢ ➡[h] L → ❪G,L❫ ⊢ ➡*[h] L2 → Q L → Q L1) →
+                                ∀L1. ❪G,L1❫ ⊢ ➡*[h] L2 → Q L1.
 /4 width=8 by lprs_inv_CTC, lprs_CTC, lpr_cprs_trans, cpr_refl, lex_CTC_ind_sn/ qed-.
 
 (* Basic_2A1: was: lprs_ind *)
 lemma lprs_ind_dx (h) (G) (L1): ∀Q:predicate lenv. Q L1 →
-                                (∀L,L2. ⦃G,L1⦄ ⊢ ➡*[h] L → ⦃G,L⦄ ⊢ ➡[h] L2 → Q L → Q L2) →
-                                ∀L2. ⦃G,L1⦄ ⊢ ➡*[h] L2 → Q L2.
+                                (∀L,L2. ❪G,L1❫ ⊢ ➡*[h] L → ❪G,L❫ ⊢ ➡[h] L2 → Q L → Q L2) →
+                                ∀L2. ❪G,L1❫ ⊢ ➡*[h] L2 → Q L2.
 /4 width=8 by lprs_inv_CTC, lprs_CTC, lpr_cprs_trans, cpr_refl, lex_CTC_ind_dx/ qed-.
 
 (* Properties with unbound rt-transition for full local environments ********)
 
-lemma lpr_lprs (h) (G): ∀L1,L2. ⦃G,L1⦄ ⊢ ➡[h] L2 → ⦃G,L1⦄ ⊢ ➡*[h] L2.
+lemma lpr_lprs (h) (G): ∀L1,L2. ❪G,L1❫ ⊢ ➡[h] L2 → ❪G,L1❫ ⊢ ➡*[h] L2.
 /4 width=3 by lprs_CTC, lpr_cprs_trans, lex_CTC_inj/ qed.
 
 (* Basic_2A1: was: lprs_strap2 *)
-lemma lprs_step_sn (h) (G): ∀L1,L. ⦃G,L1⦄ ⊢ ➡[h] L →
-                            ∀L2.⦃G,L⦄ ⊢ ➡*[h] L2 → ⦃G,L1⦄ ⊢ ➡*[h] L2.
+lemma lprs_step_sn (h) (G): ∀L1,L. ❪G,L1❫ ⊢ ➡[h] L →
+                            ∀L2.❪G,L❫ ⊢ ➡*[h] L2 → ❪G,L1❫ ⊢ ➡*[h] L2.
 /4 width=3 by lprs_inv_CTC, lprs_CTC, lpr_cprs_trans, lex_CTC_step_sn/ qed-.
 
 (* Basic_2A1: was: lpxs_strap1 *)
-lemma lprs_step_dx (h) (G): ∀L1,L. ⦃G,L1⦄ ⊢ ➡*[h] L →
-                            ∀L2. ⦃G,L⦄ ⊢ ➡[h] L2 → ⦃G,L1⦄ ⊢ ➡*[h] L2.
+lemma lprs_step_dx (h) (G): ∀L1,L. ❪G,L1❫ ⊢ ➡*[h] L →
+                            ∀L2. ❪G,L❫ ⊢ ➡[h] L2 → ❪G,L1❫ ⊢ ➡*[h] L2.
 /4 width=3 by lprs_inv_CTC, lprs_CTC, lpr_cprs_trans, lex_CTC_step_dx/ qed-.
 
 lemma lprs_strip (h) (G): confluent2 … (lprs h G) (lpr h G).