Theorems · Theorem · group theory
AddConstMapClass.map_zsmul_const
∀ {F : Type u_1} {G : Type u_2} {H : Type u_3} [inst : FunLike F G H] {a : G} {b : H} [inst_1 : AddGroup G]
[inst_2 : AddGroup H] [AddConstMapClass F G H a b] (f : F) (n : ℤ), f (n • a) = f 0 + n • b- Defined in
- Mathlib.Algebra.AddConstMap.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 18 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
- zero_addproof · cited by 2,366
- AddConstMapClassstatement and proof · cited by 43
- AddConstMapClass.map_add_zsmulproof · cited by 5
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.