exact this (Eq.symm h) (Ne.symm ne) (lt_of_le_of_ne (by simpa using lt) (Ne.symm ne))
case inr
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* 𝐈𝚺₁
i j : M
h : under i = under j
ne : ¬i = j
this :
  ∀ {M : Type u_1} [inst : Zero M] [inst_1 : One M] [inst_2 : Add M] [inst_3 : Mul M] [inst_4 : LT M]
    [inst_5 : M ⊧ₘ* 𝐈𝚺₁] {i j : M}, under i = under j → ¬i = j → i < j → False
lt : ¬i < j
⊢ False
no goals