apply le_defn.mpr
ℕ : Type
inst✝³ : Core ℕ
inst✝² : Induction ℕ
inst✝¹ : Addition ℕ
inst✝ : Sign ℕ
order_inst : Order ℕ
n₁ n₂ m : ℕ
x✝¹ : n₁ ≃ n₂
x✝ : n₁ ≤ m
d : ℕ
h✝ : n₁ + d ≃ m
⊢ n₂ ≤ m
ℕ : Type
inst✝³ : Core ℕ
inst✝² : Induction ℕ
inst✝¹ : Addition ℕ
inst✝ : Sign ℕ
order_inst : Order ℕ
n₁ n₂ m : ℕ
x✝¹ : n₁ ≃ n₂
x✝ : n₁ ≤ m
d : ℕ
h✝ : n₁ + d ≃ m
⊢ ∃ k, n₂ + k ≃ m