Nat.frequently_modEq

theorem Nat.frequently_modEq : ∀ {n : ℕ}, n ≠ 0 → ∀ (d : ℕ), ∃ᶠ (m : ℕ) in Filter.atTop, n.ModEq m d

This theorem asserts that for any non-zero natural number `n` and any natural number `d`, there exist infinitely many natural numbers `m` such that `m` is equivalent to `d` modulo `n`. In other words, there are infinitely many natural numbers `m` which give a remainder of `d` when divided by `n`. Here, the Filter.atTop is used to represent the limit as `m` approaches infinity.

More concisely: For any non-zero natural number `n` and natural number `d`, there exists an infinite sequence of natural numbers `m` such that `m` is congruent to `d` modulo `n`.