Theorems · Theorem · group theory
AddSubmonoid.mem_neg
∀ {G : Type u_2} [inst : AddGroup G] {g : G} {S : AddSubmonoid G}, g ∈ -S ↔ -g ∈ S- Cited by
- 2 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext
- Assumes
- AddGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddGroupstatement and proof · cited by 4,410
- AddSubmonoidstatement and proof · cited by 1,178
- AddSubmonoid.negstatement · cited by 16
Cited by2
Results whose statement or proof uses this declaration.
- AddSubmonoid.mem_closure_negproof · cited by 1
- AddSubmonoid.leftNeg_eq_negproof · cited by 0