induction c
Δ : RankedAlphabet
H : Type
c : (Term.algebra Δ H).carrier
⊢ c ∈ Closure (Vars Δ H) (Algebra.ops (Term.algebra Δ H))
case var
Δ : RankedAlphabet
H : Type
h✝ : H
⊢ var h✝ ∈ Closure (Vars Δ H) (Algebra.ops (Term.algebra Δ H))

case app
Δ : RankedAlphabet
H : Type
σ✝ : Δ.alphabet
v✝ : Fin (RankedAlphabet.rank Δ σ✝) → Term Δ H
v_ih✝ : ∀ (a : Fin (RankedAlphabet.rank Δ σ✝)), v✝ a ∈ Closure (Vars Δ H) (Algebra.ops (Term.algebra Δ H))
⊢ app σ✝ v✝ ∈ Closure (Vars Δ H) (Algebra.ops (Term.algebra Δ H))