Theorems · Theorem · number theory
ZMod.valMinAbs_spec
∀ {n : ℕ} [NeZero n] (x : ZMod n) (y : ℤ), x.valMinAbs = y ↔ x = ↑y ∧ y * 2 ∈ Set.Ioc (-↑n) ↑n- Defined in
- Mathlib.Data.ZMod.ValMinAbs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NeZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites21
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- absproof · cited by 1,814
- ZModstatement and proof · cited by 1,024
- sub_selfproof · cited by 996
- Set.Iocstatement and proof · cited by 971
- sub_eq_zeroproof · cited by 407
- lt_of_not_geproof · cited by 374
- neg_neg_of_posproof · cited by 227
- sub_mulproof · cited by 170
- zero_lt_twoproof · cited by 124
- abs_mulproof · cited by 98
- Int.cast_subproof · cited by 78
Cited by1
Results whose statement or proof uses this declaration.
- ZMod.valMinAbs_neg_of_ne_halfproof · cited by 1