]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpg_simple.ma
some renaming and reordering of variables
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_transition / cpg_simple.ma
index 61ade3e0de530d838c95f31d4334c033ede443e0..1c9f06d47d80ec440bc652a1db9436cef6abd12f 100644 (file)
@@ -20,10 +20,10 @@ include "basic_2/rt_transition/cpg.ma".
 (* Properties with generic slicing for local environments *******************)
 
 (* Note: the main property of simple terms *)
-lemma cpg_inv_appl1_simple: ∀h,r,G,L,V1,T1,U. ⦃G, L⦄ ⊢ ⓐV1.T1 ➡[h, r] U → 𝐒⦃T1⦄ →
-                            ∃∃V2,T2. ⦃G, L⦄ ⊢ V1 ➡[h, r] V2 & ⦃G, L⦄ ⊢ T1 ➡[h, r] T2 &
+lemma cpg_inv_appl1_simple: ∀h,c,G,L,V1,T1,U. ⦃G, L⦄ ⊢ ⓐV1.T1 ➡[h, c] U → 𝐒⦃T1⦄ →
+                            ∃∃V2,T2. ⦃G, L⦄ ⊢ V1 ➡[h, c] V2 & ⦃G, L⦄ ⊢ T1 ➡[h, c] T2 &
                                      U = ⓐV2.T2.
-#h #r #G #L #V1 #T1 #U #H #HT1
+#h #c #G #L #V1 #T1 #U #H #HT1
 elim (cpg_inv_appl1 … H) -H *
 [ /2 width=5 by ex3_2_intro/
 | #a #V2 #W1 #W2 #U1 #U2 #_ #_ #_ #H #_ destruct