Theorems · Theorem · number theory
Nat.ModEq.dvd_iff
∀ {m a b d : ℕ}, a ≡ b [MOD m] → d ∣ m → (d ∣ a ↔ d ∣ b)- Defined in
- Mathlib.Data.Nat.ModEq
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 45 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Nat.ModEqstatement and proof · cited by 225
- Nat.ModEq.symmproof · cited by 29
- Nat.ModEq.transproof · cited by 21
- Nat.ModEq.of_dvdproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- Nat.ModEq.gcd_eqproof · cited by 1