Theorems · Theorem · group theory
map_comp_neg
∀ {ι : Type u_1} {G : Type u_7} {H : Type u_8} {F : Type u_9} [inst : FunLike F G H] [inst_1 : AddGroup G]
[inst_2 : SubtractionMonoid H] [AddMonoidHomClass F G H] (f : F) (g : ι → G), ⇑f ∘ (-g) = -⇑f ∘ g- Defined in
- Mathlib.Algebra.Group.Hom.Defs
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- AddGroupstatement and proof · cited by 4,410
- FunLikestatement and proof · cited by 2,560
- map_negproof · cited by 378
- AddMonoidHomClassstatement and proof · cited by 252
- SubtractionMonoidstatement and proof · cited by 208
Cited by3
Results whose statement or proof uses this declaration.
- ConvexOn.exists_affine_le_of_ltproof · cited by 4
- Complex.ofReal_comp_negproof · cited by 0
- map_comp_add_negproof · cited by 0