]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/basic_2/rt_equivalence/cpcs_aaa.ma
update in ground_2, static_2, basic_2, apps_2, alpha_1
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_equivalence / cpcs_aaa.ma
index a1361c2f0c69c5e157749316ab7693872193c268..f387ce5994c185089a46cfde5385eb0692fea4f7 100644 (file)
@@ -19,8 +19,9 @@ include "basic_2/rt_equivalence/cpcs_cprs.ma".
 
 (* Main inversion lemmas with atomic arity assignment on terms **************)
 
-theorem cpcs_aaa_mono (h) (G) (L): ∀T1,T2. ⦃G, L⦄ ⊢ T1 ⬌*[h] T2 →
-                                   ∀A1. ⦃G, L⦄ ⊢ T1 ⁝ A1 → ∀A2. ⦃G, L⦄ ⊢ T2 ⁝ A2 →
+(* Note: lemma 1500 *)
+theorem cpcs_aaa_mono (h) (G) (L): ∀T1,T2. ❪G,L❫ ⊢ T1 ⬌*[h] T2 →
+                                   ∀A1. ❪G,L❫ ⊢ T1 ⁝ A1 → ∀A2. ❪G,L❫ ⊢ T2 ⁝ A2 →
                                    A1 = A2.
 #h #G #L #T1 #T2 #HT12 #A1 #HA1 #A2 #HA2
 elim (cpcs_inv_cprs … HT12) -HT12 #T #HT1 #HT2