Theorems · Theorem · number theory
Int.ModEq.dvd
∀ {n a b : ℤ}, a ≡ b [ZMOD n] → n ∣ b - aAlias of the forward direction of Int.modEq_iff_dvd.
- Defined in
- Mathlib.Data.Int.ModEq
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 44 from the axioms · uses propext
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Int.ModEqstatement · cited by 147
- Int.modEq_iff_dvdproof · cited by 16
Cited by8
Results whose statement or proof uses this declaration.
- Int.ModEq.of_dvdproof · cited by 6
- Int.ModEq.addproof · cited by 4
- Int.ModEq.add_left_cancelproof · cited by 3
- Equiv.Perm.IsCycleOn.exists_pow_eqproof · cited by 2
- Nat.dvd_iff_dvd_ofDigitsproof · cited by 1
- IsEllipticNet.atomRel_eqproof · cited by 0
- Int.prime_dvd_pow_self_subproof · cited by 0
- Int.prime_dvd_pow_sub_oneproof · cited by 0