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partial commit: just the components before "static" ...
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / computation / cpxs_aaa.ma
index ed2329c548228a2c821b960d4c9c264d64970d40..5f377731ae9659711603ac2b2a6d73b17daadb4e 100644 (file)
@@ -19,11 +19,11 @@ include "basic_2/computation/cpxs.ma".
 
 (* Properties about atomic arity assignment on terms ************************)
 
-lemma aaa_cpxs_conf: ∀h,g,L,T1,A. L ⊢ T1 ⁝ A →
-                     ∀T2. ⦃h, L⦄ ⊢ T1 ➡*[g] T2 → L ⊢ T2 ⁝ A.
+lemma aaa_cpxs_conf: ∀h,g,L,T1,A. ⦃G, L⦄ ⊢ T1 ⁝ A →
+                     ∀T2. ⦃G, L⦄ ⊢ T1 ➡*[h, g] T2 → ⦃G, L⦄ ⊢ T2 ⁝ A.
 #h #g #L #T1 #A #HT1 #T2 #HT12
 @(TC_Conf3 … HT1 ? HT12) -A -T1 -T2 /2 width=5 by aaa_cpx_conf/
 qed-.
 
-lemma aaa_cprs_conf: ∀L,T1,A. L ⊢ T1 ⁝ A → ∀T2. L ⊢ T1 ➡* T2 → L ⊢ T2 ⁝ A.
+lemma aaa_cprs_conf: ∀L,T1,A. ⦃G, L⦄ ⊢ T1 ⁝ A → ∀T2. ⦃G, L⦄ ⊢ T1 ➡* T2 → ⦃G, L⦄ ⊢ T2 ⁝ A.
 /3 width=5 by aaa_cpxs_conf, cprs_cpxs/ qed-.