Theorems · Theorem · number theory
Int.modEq_zero_iff_dvd
∀ {n a : ℤ}, a ≡ 0 [ZMOD n] ↔ n ∣ a- Defined in
- Mathlib.Data.Int.ModEq
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 40 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Int.ModEqstatement · cited by 147
Cited by5
Results whose statement or proof uses this declaration.
- ZMod.intCast_zmod_eq_zero_iff_dvdproof · cited by 14
- zsmul_eq_zero_iff_modEqproof · cited by 1
- zpow_eq_one_iff_modEqproof · cited by 1
- Dvd.dvd.modEq_zero_intproof · cited by 1
- Int.ModEq.pow_eq_powproof · cited by 0