-lemma aaa_ind_fpb: ∀h. ∀Q:relation3 ….
- (∀G1,L1,T1,A. ⦃G1, L1⦄ ⊢ T1 ⁝ A →
- (∀G2,L2,T2. ⦃G1, L1, T1⦄ ≻[h] ⦃G2, L2, T2⦄ → Q G2 L2 T2) →
- Q G1 L1 T1
- ) →
- ∀G,L,T,A. ⦃G, L⦄ ⊢ T ⁝ A → Q G L T.
-/4 width=4 by aaa_ind_fpb_aux, aaa_csx/ qed-.
+lemma aaa_ind_fpbc (Q:relation3 …):
+ (∀G1,L1,T1,A.
+ ❪G1,L1❫ ⊢ T1 ⁝ A →
+ (∀G2,L2,T2. ❪G1,L1,T1❫ ≻ ❪G2,L2,T2❫ → Q G2 L2 T2) →
+ Q G1 L1 T1
+ ) →
+ ∀G,L,T,A. ❪G,L❫ ⊢ T ⁝ A → Q G L T.
+/4 width=4 by aaa_ind_fpbc_aux, aaa_csx/ qed-.