-lemma fsb_ind_alt: ∀h,o. ∀R: relation3 …. (
- ∀G1,L1,T1. ⦥[h,o] ⦃G1, L1, T1⦄ → (
- ∀G2,L2,T2. ⦃G1, L1, T1⦄ ≻[h, o] ⦃G2, L2, T2⦄ → R G2 L2 T2
- ) → R G1 L1 T1
+(* Note: eliminator with shorter ground hypothesis *)
+(* Note: to be named fsb_ind when fsb becomes a definition like csx, lfsx ***)
+lemma fsb_ind_alt: ∀h. ∀Q: relation3 …. (
+ ∀G1,L1,T1. ≥[h] 𝐒⦃G1, L1, T1⦄ → (
+ ∀G2,L2,T2. ⦃G1, L1, T1⦄ ≻[h] ⦃G2, L2, T2⦄ → Q G2 L2 T2
+ ) → Q G1 L1 T1