]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/basic_2/equivalence/cpcs_cpcs.ma
- some renaming
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / equivalence / cpcs_cpcs.ma
index 199e49b07320ba261035a4c9b77ba1b38e70d48b..784c754704169c4ef60a464db9a452f58e899be9 100644 (file)
@@ -211,13 +211,13 @@ qed.
 
 (* Basic_1: was: pc3_wcpr0_t *)
 (* Basic_1: note: pc3_wcpr0_t should be renamed *)
-lemma lpr_cprs_conf: ∀L1,L2. L1 ⊢ ➡ L2 → ∀T1,T2. L1 ⊢ T1 ➡* T2 → L2 ⊢ T1 ⬌* T2.
+lemma cprs_lpr_conf: ∀L1,L2. L1 ⊢ ➡ L2 → ∀T1,T2. L1 ⊢ T1 ➡* T2 → L2 ⊢ T1 ⬌* T2.
 #L1 #L2 #HL12 #T1 #T2 #H @(cprs_ind … H) -T2 //
 /3 width=5 by cpcs_trans, lpr_cpr_conf/
 qed-.
 
 (* Basic_1: was: pc3_wcpr0 *)
-lemma lpr_cpcs_conf: ∀L1,L2. L1 ⊢ ➡ L2 → ∀T1,T2. L1 ⊢ T1 ⬌* T2 → L2 ⊢ T1 ⬌* T2.
+lemma cpcs_lpr_conf: ∀L1,L2. L1 ⊢ ➡ L2 → ∀T1,T2. L1 ⊢ T1 ⬌* T2 → L2 ⊢ T1 ⬌* T2.
 #L1 #L2 #HL12 #T1 #T2 #H
-elim (cpcs_inv_cprs … H) -H /3 width=5 by cpcs_canc_dx, lpr_cprs_conf/
+elim (cpcs_inv_cprs … H) -H /3 width=5 by cpcs_canc_dx, cprs_lpr_conf/
 qed-.