X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fequivalence%2Fcpcs.ma;h=44d59982cf6868920ca4204a458a0584a8051748;hb=08cb57944c0df08611d4f35d286e46c0d13e4813;hp=a979b7baeab51931bd81076dbd9c6e8b2dbf8f51;hpb=0fc60a39857b0225b4888d5bd991c7790231eb44;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/equivalence/cpcs.ma b/matita/matita/contribs/lambdadelta/basic_2/equivalence/cpcs.ma
index a979b7bae..44d59982c 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/equivalence/cpcs.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/equivalence/cpcs.ma
@@ -47,6 +47,9 @@ lemma cpcs_refl: ∀L. reflexive … (cpcs L).
 lemma cpcs_sym: ∀L. symmetric … (cpcs L).
 /3 width=1/ qed.
 
+lemma cpc_cpcs: ∀L,T1,T2. L ⊢ T1 ⬌ T2 → L ⊢ T2 ⬌* T2.
+/2 width=1/ qed.
+
 lemma cpcs_strap1: ∀L,T1,T,T2. L ⊢ T1 ⬌* T → L ⊢ T ⬌ T2 → L ⊢ T1 ⬌* T2.
 /2 width=3/ qed.
 
@@ -84,7 +87,7 @@ lemma cpr_div: ∀L,T1,T. L ⊢ T1 ➡ T → ∀T2. L ⊢ T2 ➡ T → L ⊢ T1
 lemma cpcs_cpr_conf: ∀L,T1,T. L ⊢ T ➡ T1 → ∀T2. L ⊢ T ⬌* T2 → L ⊢ T1 ⬌* T2.
 /3 width=3/ qed.
 
-lemma cpcs_tpss_strap1: ∀L,T1,T. L ⊢ T1 ⬌* T → 
+lemma cpcs_tpss_strap1: ∀L,T1,T. L ⊢ T1 ⬌* T →
                         ∀T2,d,e. L ⊢ T ▶* [d, e] T2 → L ⊢ T1 ⬌* T2.
 #L #T1 #T #HT1 #T2 #d #e #HT2
 @(cpcs_cpr_strap1 … HT1) -T1 /2 width=3/
@@ -100,7 +103,7 @@ qed-.
             clear_pc3_trans pc3_ind_left
             pc3_head_1 pc3_head_2 pc3_head_12 pc3_head_21
             pc3_pr2_fsubst0 pc3_pr2_fsubst0_back pc3_fsubst0
-*)   
+*)
 (* Basic_1: removed local theorems 6:
             pc3_left_pr3 pc3_left_trans pc3_left_sym pc3_left_pc3 pc3_pc3_left
             pc3_wcpr0_t_aux