rename_i h₁
case inr.inl.inr.inr
n✝ : ℕ
v₁ v₂ : Variables n✝ order.GrLex
h✝³ : Order.grlex.elem_sum v₁ = Order.grlex.elem_sum v₂
h✝² : ¬algebra.Order.bgrlex.elem_sum v₁ = algebra.Order.bgrlex.elem_sum v₂
h : algebra.Order.bgrlex.elem_sum v₂ ≤ algebra.Order.bgrlex.elem_sum v₁ → False
h✝¹ : ¬Order.lex v₁ v₂
h✝ : Order.grlex.elem_sum v₂ ≤ Order.grlex.elem_sum v₁
⊢ False

case inr.inr
n✝ : ℕ
v₁ v₂ : Variables n✝ order.GrLex
h : algebra.Order.bgrlex v₁ v₂ = true
h✝¹ : ¬Order.grlex.elem_sum v₁ < Order.grlex.elem_sum v₂
h✝ : ¬Order.grlex.elem_sum v₁ = Order.grlex.elem_sum v₂
⊢ False
case inr.inl.inr.inr
n✝ : ℕ
v₁ v₂ : Variables n✝ order.GrLex
h✝² : Order.grlex.elem_sum v₁ = Order.grlex.elem_sum v₂
h✝¹ : ¬algebra.Order.bgrlex.elem_sum v₁ = algebra.Order.bgrlex.elem_sum v₂
h : algebra.Order.bgrlex.elem_sum v₂ ≤ algebra.Order.bgrlex.elem_sum v₁ → False
h✝ : ¬Order.lex v₁ v₂
h₁ : Order.grlex.elem_sum v₂ ≤ Order.grlex.elem_sum v₁
⊢ False

case inr.inr
n✝ : ℕ
v₁ v₂ : Variables n✝ order.GrLex
h : algebra.Order.bgrlex v₁ v₂ = true
h✝¹ : ¬Order.grlex.elem_sum v₁ < Order.grlex.elem_sum v₂
h✝ : ¬Order.grlex.elem_sum v₁ = Order.grlex.elem_sum v₂
⊢ False