Theorems · Theorem · number theory
Int.modEq_natAbs
∀ {n a b : ℤ}, a ≡ b [ZMOD ↑n.natAbs] ↔ a ≡ b [ZMOD n]- Defined in
- Mathlib.Data.Int.ModEq
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 36 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 and proof · cited by 147
- Int.natCast_natAbsproof · cited by 24
Cited by5
Results whose statement or proof uses this declaration.
- Int.prod_modEq_iteproof · cited by 0
- Int.prod_modEq_singleproof · cited by 0
- Int.sum_modEq_iteproof · cited by 0
- Int.sum_modEq_singleproof · cited by 0
- Int.modEq_and_modEq_iff_modEq_mulproof · cited by 0