Theorems · Theorem · ring theory
Set.neg_mem_center
∀ {M : Type u_1} [inst : NonUnitalNonAssocRing M] {a : M}, a ∈ Set.center M → -a ∈ Set.center M- Defined in
- Mathlib.Algebra.Ring.Center
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext
- Assumes
- NonUnitalNonAssocRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- neg_mulproof · cited by 654
- mul_negproof · cited by 590
- NonUnitalNonAssocRingstatement and proof · cited by 354
- Set.centerstatement and proof · cited by 49
- IsMulCentral.commproof · cited by 26
- commute_iff_eqproof · cited by 20
- IsMulCentral.right_assocproof · cited by 9
- IsMulCentral.left_assocproof · cited by 7
- neg_mul_commproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- NonUnitalSubring.centerproof · cited by 13