Theorems · Theorem · group theory
AddEquiv.neg_apply
∀ (G : Type u_6) [inst : SubtractionCommMonoid G] (a : G), (AddEquiv.neg G) a = -a
- Defined in
- Mathlib.Algebra.Group.Units.Equiv
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Quot.sound
- Assumes
- SubtractionCommMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- AddEquivstatement · cited by 1,087
- SubtractionCommMonoidstatement and proof · cited by 79
- AddEquiv.negstatement and proof · cited by 9
Cited by2
Results whose statement or proof uses this declaration.
- LaurentPolynomial.invert_applyproof · cited by 3
- Int.addEquiv_eq_refl_or_negproof · cited by 0