Theorems · Theorem · ring theory
IsUnit.neg
∀ {α : Type u} [inst : Monoid α] [inst_1 : HasDistribNeg α] {a : α}, IsUnit a → IsUnit (-a)- Defined in
- Mathlib.Algebra.Ring.Units
- Cited by
- 19 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses propext
- Assumes
- MonoidHasDistribNeg
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Monoidstatement and proof · cited by 3,887
- Unitsproof · cited by 2,804
- Units.valproof · cited by 1,966
- IsUnitstatement and proof · cited by 1,602
- Units.isUnitproof · cited by 116
- HasDistribNegstatement and proof · cited by 114
Cited by19
Results whose statement or proof uses this declaration.
- IsUnit.neg_iffproof · cited by 7
- isUnit_neg_oneproof · cited by 4
- Char.card_pow_char_powproof · cited by 2
- WeierstrassCurve.Projective.nonsingular_negproof · cited by 2
- WeierstrassCurve.Jacobian.nonsingular_negproof · cited by 2
- WeierstrassCurve.Projective.nonsingular_addproof · cited by 1
- IsUnit.not_isNilpotentproof · cited by 1
- Ideal.FinrankQuotientMap.span_eq_topproof · cited by 1
- WeierstrassCurve.Jacobian.Point.toAffine_addproof · cited by 1
- WeierstrassCurve.Jacobian.Point.toAffine_negproof · cited by 1
- WeierstrassCurve.Projective.Point.toAffine_addproof · cited by 1
- WeierstrassCurve.Projective.Point.toAffine_negproof · cited by 1