∀ {β : Type u_1} {α : Sort u_2} [inst : LE β] {inst_1 : DecidableLE β} [inst_2 : DecidableLE β] (f f_1 : α → β),
  f = f_1 → ∀ (x x_1 : α), x = x_1 → ∀ (y y_1 : α), y = y_1 → minOn f x y = minOn f_1 x_1 y_1