(* Basic_2A1: uses: lsx_ind *)
lemma rdsx_ind (h) (o) (G) (T):
- ∀R:predicate lenv.
+ ∀Q:predicate lenv.
(∀L1. G ⊢ ⬈*[h, o, T] 𝐒⦃L1⦄ →
- (∀L2. ⦃G, L1⦄ ⊢ ⬈[h] L2 → (L1 ≛[h, o, T] L2 → ⊥) → R L2) →
- R L1
+ (∀L2. ⦃G, L1⦄ ⊢ ⬈[h] L2 → (L1 ≛[h, o, T] L2 → ⊥) → Q L2) →
+ Q L1
) →
- ∀L. G ⊢ ⬈*[h, o, T] 𝐒⦃L⦄ → R L.
-#h #o #G #T #R #H0 #L1 #H elim H -L1
+ ∀L. G ⊢ ⬈*[h, o, T] 𝐒⦃L⦄ → Q L.
+#h #o #G #T #Q #H0 #L1 #H elim H -L1
/5 width=1 by SN_intro/
qed-.