Theorems · Theorem · group theory
even_neg
∀ {α : Type u_2} [inst : SubtractionMonoid α] {a : α}, Even (-a) ↔ Even a- Defined in
- Mathlib.Algebra.Group.Even
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Quot.sound
- Assumes
- SubtractionMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- neg_negproof · cited by 960
- AddEquiv.symmproof · cited by 530
- Evenstatement and proof · cited by 444
- SubtractionMonoidstatement and proof · cited by 208
- AddOpposite.opproof · cited by 192
- Even.mapproof · cited by 3
- AddEquiv.neg'proof · cited by 3
- even_op_iffproof · cited by 2
- AddEquiv.neg'_symm_applyproof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- Even.subproof · cited by 2
- Int.two_pow_sub_powproof · cited by 1
- Even.negproof · cited by 1
- even_absproof · cited by 0