Theorems · Theorem · group theory
map_add
∀ {M : Type u_4} {N : Type u_5} {F : Type u_9} [inst : Add M] [inst_1 : Add N] [inst_2 : FunLike F M N]
[AddHomClass F M N] (f : F) (x y : M), f (x + y) = f x + f y- Defined in
- Mathlib.Algebra.Group.Hom.Defs
- Cited by
- 964 results in Mathlib
- Foundations
- Depth 5 from the axioms, rests on 11 definitions · uses no axioms
- Assumes
- AddAddFunLikeAddHomClass
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 · cited by 62,936
- FunLikestatement and proof · cited by 2,560
- AddHomClassstatement and proof · cited by 65
- AddHomClass.map_addproof · cited by 1
Cited by967
Results whose statement or proof uses this declaration.
- injective_iff_map_eq_zeroproof · cited by 62
- Polynomial.derivative_mulproof · cited by 35
- RingCon.comapproof · cited by 32
- LinearMap.map_addproof · cited by 32
- Polynomial.aeval_algHom_applyproof · cited by 31
- inner_add_rightproof · cited by 27
- Polynomial.eval₂_addproof · cited by 22
- ContinuousLinearMap.map_addproof · cited by 16
- RingHom.map_addproof · cited by 16
- LinearIsometry.inner_map_mapproof · cited by 16
- IsCyclotomicExtension.isGaloisproof · cited by 13
- LinearMap.lTensor_surjectiveproof · cited by 11
Showing the 200 most cited of 967.