]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/basic_2/rt_transition/cpx_fdeq.ma
some restyling ...
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_transition / cpx_fdeq.ma
index 5a00dc6786c0ab997573e6f4c7a997f800d5bf50..f8224c2471b2965c6a9296ae99a3ddcfd640ec16 100644 (file)
@@ -20,9 +20,9 @@ include "basic_2/rt_transition/rpx_rdeq.ma".
 
 (* Properties with sort-irrelevant equivalence for closures *****************)
 
-lemma fdeq_cpx_trans: ∀h,G1,G2,L1,L2,T1,T. ⦃G1, L1, T1⦄ ≛ ⦃G2, L2, T⦄ →
-                      ∀T2. ⦃G2, L2⦄ ⊢ T ⬈[h] T2 →
-                      ∃∃T0. ⦃G1, L1⦄ ⊢ T1 ⬈[h] T0 & ⦃G1, L1, T0⦄ ≛ ⦃G2, L2, T2⦄.
+lemma fdeq_cpx_trans: ∀h,G1,G2,L1,L2,T1,T. ⦃G1,L1,T1⦄ ≛ ⦃G2,L2,T⦄ →
+                      ∀T2. ⦃G2,L2⦄ ⊢ T ⬈[h] T2 →
+                      ∃∃T0. ⦃G1,L1⦄ ⊢ T1 ⬈[h] T0 & ⦃G1,L1,T0⦄ ≛ ⦃G2,L2,T2⦄.
 #h #G1 #G2 #L1 #L2 #T1 #T #H #T2 #HT2
 elim (fdeq_inv_gen_dx … H) -H #H #HL12 #HT1 destruct
 elim (rdeq_cpx_trans … HL12 … HT2) #T0 #HT0 #HT02