]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambda_delta/basic_2/equivalence/lcpcs_aaa.ma
- predefined_virtuals: an addition
[helm.git] / matita / matita / contribs / lambda_delta / basic_2 / equivalence / lcpcs_aaa.ma
index 17c9fb939c1f9d430c2e05aba00c2e0985d935c3..aa2b8ef2a5bbaecc3c57bad44b7d5daf7af6f54e 100644 (file)
@@ -21,7 +21,7 @@ include "basic_2/equivalence/lcpcs_lcpcs.ma".
 (* Main properties about atomic arity assignment on terms *******************)
 
 theorem aaa_lcpcs_mono: ∀L1,L2. L1 ⊢ ⬌* L2 →
-                        ∀T,A1. L1 ⊢ T ÷ A1 → ∀A2. L2 ⊢ T ÷ A2 →
+                        ∀T,A1. L1 ⊢ T ⁝ A1 → ∀A2. L2 ⊢ T ⁝ A2 →
                         A1 = A2.
 #L1 #L2 #HL12 #T #A1 #HT1 #A2 #HT2
 elim (lcpcs_inv_lcprs … HL12) -HL12 #L #HL1 #HL2
@@ -31,7 +31,7 @@ lapply (aaa_mono … HT1 … HT2) -L -T //
 qed-.
 
 theorem aaa_cpcs_mono: ∀L,T1,T2. L ⊢ T1 ⬌* T2 →
-                       ∀A1. L ⊢ T1 ÷ A1 → ∀A2. L ⊢ T2 ÷ A2 →
+                       ∀A1. L ⊢ T1 ⁝ A1 → ∀A2. L ⊢ T2 ⁝ A2 →
                        A1 = A2.
 #L #T1 #T2 #HT12 #A1 #HA1 #A2 #HA2
 elim (cpcs_inv_cprs … HT12) -HT12 #T #HT1 #HT2