Theorems · Theorem · commutative algebra
Nat.cast_dvd_cast
∀ {α : Type u_1} [inst : Semiring α] {m n : ℕ}, m ∣ n → ↑m ∣ ↑n- Defined in
- Mathlib.Data.Nat.Cast.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext
- Assumes
- Semiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- map_dvdproof · cited by 44
- Nat.castRingHomproof · cited by 27
Cited by3
Results whose statement or proof uses this declaration.
- Dvd.dvd.natCastproof · cited by 0
- AlgHom.IsArithFrobAt.apply_of_pow_eq_oneproof · cited by 0