| fquq_bind_dx: ∀a,I,G,L,V,T. fquq G L (ⓑ{a,I}V.T) G (L.ⓑ{I}V) T
| fquq_flat_dx: ∀I,G, L,V,T. fquq G L (ⓕ{I}V.T) G L T
| fquq_drop : ∀G,L,K,T,U,e.
- ⇩[0, e] L ≡ K → ⇧[0, e] T ≡ U → fquq G L U G K T
+ ⇩[e] L ≡ K → ⇧[0, e] T ≡ U → fquq G L U G K T
.
interpretation
/2 width=3 by fquq_drop/ qed.
lemma fqu_fquq: ∀G1,G2,L1,L2,T1,T2. ⦃G1, L1, T1⦄ ⊃ ⦃G2, L2, T2⦄ → ⦃G1, L1, T1⦄ ⊃⸮ ⦃G2, L2, T2⦄.
-#G1 #G2 #L1 #L2 #T1 #T2 #H elim H -L1 -L2 -T1 -T2 // /2 width=3 by fquq_drop/
+#G1 #G2 #L1 #L2 #T1 #T2 #H elim H -L1 -L2 -T1 -T2 /2 width=3 by fquq_drop/
qed.
(* Basic forward lemmas *****************************************************)