have l₂ : ¬(~~f ∈ Γ) := h₂ ∘ λel => Γ.val.property.mpr ⟨BProof.mp (BProof.ax el) BTheorem.dne⟩
case h
Γ : Pr
f : Form
h₁ : f ∈ ↑↑(primeStarFunction (primeStarFunction Γ))
h₂ : ¬f ∈ ↑↑Γ
⊢ False
case h
Γ : Pr
f : Form
h₁ : f ∈ ↑↑(primeStarFunction (primeStarFunction Γ))
h₂ : ¬f ∈ ↑↑Γ
l₂ : ¬~~f ∈ Γ
⊢ False