intro σ w
Γ : Type
inst✝ : Alphabet Γ
⊢ ∀ (σ : (RankedAlphabet.lift Γ).alphabet)
    (cs : (stringAlgebra Γ).carrier⋆RankedAlphabet.rank (RankedAlphabet.lift Γ) σ),
    treeₑ (Algebra.θ (stringAlgebra Γ) σ cs) = Algebra.θ (Term.algebra (RankedAlphabet.lift Γ) Empty) σ (treeₑ ∘ cs)
Γ : Type
inst✝ : Alphabet Γ
σ : (RankedAlphabet.lift Γ).alphabet
w : (stringAlgebra Γ).carrier⋆RankedAlphabet.rank (RankedAlphabet.lift Γ) σ
⊢ treeₑ (Algebra.θ (stringAlgebra Γ) σ w) = Algebra.θ (Term.algebra (RankedAlphabet.lift Γ) Empty) σ (treeₑ ∘ w)