no goals
R✝ : Type u
inst✝¹ : LinearOrderedAddCommMonoidWithTop R✝
R : Type u_1
inst✝ : LinearOrderedAddCommMonoid R
a b : Tropical (WithTop R)
⊢ a * b = 0 ↔ a = 0 ∨ b = 0
simp [← untrop_inj_iff, WithTop.add_eq_top]