(* Basic eliminators ********************************************************)
axiom ntas_ind_dx: ∀h,L,T2. ∀R:predicate term. R T2 →
- (∀T1,T. ⦃h, L⦄ ⊢ T1 : T → ⦃h, L⦄ ⊢ T :* T2 → R T → R T1) →
- ∀T1. ⦃h, L⦄ ⊢ T1 :* T2 → R T1.
+ (∀T1,T. ⦃h,L⦄ ⊢ T1 : T → ⦃h,L⦄ ⊢ T :* T2 → R T → R T1) →
+ ∀T1. ⦃h,L⦄ ⊢ T1 :* T2 → R T1.
(*
#h #L #T2 #R #HT2 #IHT2 #T1 #HT12
@(star_ind_dx … HT2 IHT2 … HT12) //
(* Basic properties *********************************************************)
lemma ntas_strap1: ∀h,L,T1,T,T2.
- ⦃h, L⦄ ⊢ T1 :* T → ⦃h, L⦄ ⊢ T : T2 → ⦃h, L⦄ ⊢ T1 :* T2.
+ ⦃h,L⦄ ⊢ T1 :* T → ⦃h,L⦄ ⊢ T : T2 → ⦃h,L⦄ ⊢ T1 :* T2.
/2 width=3/ qed.
lemma ntas_strap2: ∀h,L,T1,T,T2.
- ⦃h, L⦄ ⊢ T1 : T → ⦃h, L⦄ ⊢ T :* T2 → ⦃h, L⦄ ⊢ T1 :* T2.
+ ⦃h,L⦄ ⊢ T1 : T → ⦃h,L⦄ ⊢ T :* T2 → ⦃h,L⦄ ⊢ T1 :* T2.
/2 width=3/ qed.
*)