fact aaa_ind_fpbg_aux: ∀h,o. ∀R:relation3 genv lenv term.
(∀G1,L1,T1,A. ⦃G1, L1⦄ ⊢ T1 ⁝ A →
- (â\88\80G2,L2,T2. â¦\83G1, L1, T1â¦\84 >â\89¡[h, o] ⦃G2, L2, T2⦄ → R G2 L2 T2) →
+ (â\88\80G2,L2,T2. â¦\83G1, L1, T1â¦\84 >â\89\9b[h, o] ⦃G2, L2, T2⦄ → R G2 L2 T2) →
R G1 L1 T1
) →
∀G,L,T. ⦃G, L⦄ ⊢ ⬊*[h, o] T → ∀A. ⦃G, L⦄ ⊢ T ⁝ A → R G L T.
lemma aaa_ind_fpbg: ∀h,o. ∀R:relation3 genv lenv term.
(∀G1,L1,T1,A. ⦃G1, L1⦄ ⊢ T1 ⁝ A →
- (â\88\80G2,L2,T2. â¦\83G1, L1, T1â¦\84 >â\89¡[h, o] ⦃G2, L2, T2⦄ → R G2 L2 T2) →
+ (â\88\80G2,L2,T2. â¦\83G1, L1, T1â¦\84 >â\89\9b[h, o] ⦃G2, L2, T2⦄ → R G2 L2 T2) →
R G1 L1 T1
) →
∀G,L,T,A. ⦃G, L⦄ ⊢ T ⁝ A → R G L T.