]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/basic_2/static/lfxs_drops.ma
- more commutations with superclosure: fpb_lfdeq
[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / static / lfxs_drops.ma
index 0a3f287bb168a152e26e85cf0a546b2b6b270ee7..9875361f7bd180b359d379de90be8310b29490ff 100644 (file)
@@ -70,9 +70,9 @@ elim (lexs_co_dropable_dx … HL12 … HLK2 … H2f) -L2
 qed-.
 
 (* Basic_2A1: was: llpx_sn_inv_lift_O *)
-lemma lfxs_inv_lift_bi: ∀R,L1,L2,U. L1 ⦻*[R, U] L2 →
-                        ∀K1,K2,i. ⬇*[i] L1 ≡ K1 → ⬇*[i] L2 ≡ K2 →
-                        ∀T. ⬆*[i] T ≡ U → K1 ⦻*[R, T] K2.
+lemma lfxs_inv_lifts_bi: ∀R,L1,L2,U. L1 ⦻*[R, U] L2 →
+                         ∀K1,K2,i. ⬇*[i] L1 ≡ K1 → ⬇*[i] L2 ≡ K2 →
+                         ∀T. ⬆*[i] T ≡ U → K1 ⦻*[R, T] K2.
 #R #L1 #L2 #U #HL12 #K1 #K2 #i #HLK1 #HLK2 #T #HTU
 elim (lfxs_dropable_sn … HLK1 … HL12 … HTU) -L1 -U // #Y #HK12 #HY
 lapply (drops_mono … HY … HLK2) -L2 -i #H destruct //