Theorems · Theorem · number theory
Int.modEq_iff_dvd
∀ {n a b : ℤ}, a ≡ b [ZMOD n] ↔ n ∣ b - a- Defined in
- Mathlib.Data.Int.ModEq
- Cited by
- 16 results in Mathlib
- Foundations
- Depth 43 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 by16
Results whose statement or proof uses this declaration.
- Int.ModEq.dvdproof · cited by 8
- Int.ModEq.of_dvdproof · cited by 6
- ZMod.intCast_eq_intCast_iff_dvd_subproof · cited by 5
- zpow_eq_zpow_iff_modEqproof · cited by 5
- zsmul_eq_zsmul_iff_modEqproof · cited by 4
- Int.ModEq.addproof · cited by 4
- Int.ModEq.add_left_cancelproof · cited by 3
- CharP.intCast_eq_intCastproof · cited by 3
- Int.modEq_iff_add_facproof · cited by 2
- Int.modEq_of_dvdproof · cited by 2
- Int.ModEq.of_mul_leftproof · cited by 2
- Int.exists_sq_add_sq_add_one_eq_mulproof · cited by 1