Theorems · Theorem · commutative algebra
Ideal.span_singleton_neg
∀ {α : Type u} [inst : Ring α] (x : α), Ideal.span {-x} = Ideal.span {x}- Defined in
- Mathlib.RingTheory.Ideal.Span
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 29 from the axioms · uses propext, Quot.sound
- Assumes
- Ring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Ringstatement and proof · cited by 7,463
- Idealstatement · cited by 4,748
- Ideal.spanstatement · cited by 948
- Ideal.extproof · cited by 131
- neg_mul_negproof · cited by 32
- neg_mul_commproof · cited by 5
Cited by5
Results whose statement or proof uses this declaration.
- Ideal.span_singleton_absproof · cited by 4
- Ideal.span_insert_negproof · cited by 2
- WeierstrassCurve.Affine.CoordinateRing.XYIdeal_add_eqproof · cited by 1
- WeierstrassCurve.Affine.CoordinateRing.XYIdeal_mul_XYIdealproof · cited by 1