Theorems · Definition · group theory
negAddMonoidHom
{α : Type u_1} → [inst : SubtractionCommMonoid α] → α →+ αNegation on a commutative additive group, considered as an additive monoid homomorphism.
- Defined in
- Mathlib.Algebra.Group.Hom.Basic
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses propext
- Assumes
- SubtractionCommMonoid
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.
- AddMonoidHomstatement · cited by 3,230
- SubtractionCommMonoidstatement and proof · cited by 79
- neg_addproof · cited by 69
Cited by8
Results whose statement or proof uses this declaration.
- Multiset.sum_map_neg'proof · cited by 2
- AddSubgroup.closure_image_isAddIndecomposable_baseOfproof · cited by 1
- IsAddIndecomposable.image_baseOf_neg_comp_eqstatement and proof · cited by 1
- coe_negAddMonoidHomstatement · cited by 1
- negAddMonoidHom_comp_negAddMonoidHomstatement · cited by 1
- ContinuousAddMonoidHom.negproof · cited by 1
- DFinsupp.sum_negproof · cited by 0
- negAddMonoidHom_applystatement · cited by 0