Theorems · Theorem · number theory
Int.ModEq.of_dvd
∀ {m n a b : ℤ}, m ∣ n → a ≡ b [ZMOD n] → a ≡ b [ZMOD m]- Defined in
- Mathlib.Data.Int.ModEq
- Cited by
- 6 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.
- Dvd.dvd.transproof · cited by 148
- Int.ModEqstatement and proof · cited by 147
- Int.modEq_iff_dvdproof · cited by 16
- Int.ModEq.dvdproof · cited by 8
Cited by6
Results whose statement or proof uses this declaration.
- monoidHomOfForallMemZpowers_apply_genproof · cited by 4
- addMonoidHomOfForallMemZMultiples_apply_genproof · cited by 2
- Int.ModEq.mul_rightproof · cited by 1
- MulDistribMulAction.toMonoidHomZModOfIsCyclic_applyproof · cited by 1
- Int.ModEq.mul_leftproof · cited by 1
- IsPGroup.smul_mul_inv_trivial_or_surjectiveproof · cited by 1