induction y₁ using order_induction_iSigmaZero
M : Type u_1
inst✝⁵ : Zero M
inst✝⁴ : One M
inst✝³ : Add M
inst✝² : Mul M
inst✝¹ : LT M
inst✝ : M ⊧ₘ* 𝐈𝚫₀
x₁ x₂ y₁ y₂ : M
⊢ ∀ x₁ < y₁, ∀ y₂ ≤ y₁, ∀ x₂ < y₂, Exponential x₁ y₁ → Exponential x₂ y₂ → x₂ ≤ x₁
case hP
M : Type u_1
inst✝⁵ : Zero M
inst✝⁴ : One M
inst✝³ : Add M
inst✝² : Mul M
inst✝¹ : LT M
inst✝ : M ⊧ₘ* 𝐈𝚫₀
x₁ x₂ y₂ : M
⊢ 𝚺₀-Predicate fun {y₁} => ∀ x₁ < y₁, ∀ y₂ ≤ y₁, ∀ x₂ < y₂, Exponential x₁ y₁ → Exponential x₂ y₂ → x₂ ≤ x₁

case ind
M : Type u_1
inst✝⁵ : Zero M
inst✝⁴ : One M
inst✝³ : Add M
inst✝² : Mul M
inst✝¹ : LT M
inst✝ : M ⊧ₘ* 𝐈𝚫₀
x₁ x₂ y₂ x✝ : M
a✝ : ∀ y < x✝, ∀ x₁ < y, ∀ y₂ ≤ y, ∀ x₂ < y₂, Exponential x₁ y → Exponential x₂ y₂ → x₂ ≤ x₁
⊢ ∀ x₁ < x✝, ∀ y₂ ≤ x✝, ∀ x₂ < y₂, Exponential x₁ x✝ → Exponential x₂ y₂ → x₂ ≤ x₁