Theorems · Theorem · group theory
Set.neg_mem_addCenter
∀ {M : Type u_1} [inst : SubtractionMonoid M] {a : M}, a ∈ Set.addCenter M → -a ∈ Set.addCenter M- Defined in
- Mathlib.Algebra.Group.Center
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses propext
- Assumes
- SubtractionMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- neg_negproof · cited by 960
- neg_add_revproof · cited by 236
- SubtractionMonoidstatement and proof · cited by 208
- neg_injproof · cited by 85
- Set.addCenterstatement and proof · cited by 20
- IsAddCentral.commproof · cited by 10
- AddSemigroup.mem_center_iffproof · cited by 9
Cited by1
Results whose statement or proof uses this declaration.
- Set.sub_mem_addCenterproof · cited by 0