∀ {α : Type u_1} [inst : LE α] [inst_1 : LT α] [Std.LawfulOrderLT α] [inst_3 : Std.IsLinearPreorder α]
  [inst_4 : Lean.Grind.Ring α] [Lean.Grind.OrderedRing α] {a b : α} {k k' : ℤ},
  k'.beq' (-k) = true → ¬a ≤ b + ↑k → b < a + ↑k'