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Theorems · Theorem · group theory

AddMonoidHom.add_apply

∀ {M : Type u_2} {N : Type u_3} [inst : AddZeroClass M] [inst_1 : AddCommMonoid N] (f g : M →+ N) (x : M),
  (f + g) x = f x + g x
Defined in
Mathlib.Algebra.Group.Hom.Basic
Cited by
1 results in Mathlib
Foundations
Depth 14 from the axioms · uses propext
Assumes
AddZeroClassAddCommMonoid
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

WithLp.idemFst_add_idemSnd · cited by 2WithLp.idemFst_add_idemSndDFunLike.coe · cited by 62936DFunLike.coeAddCommMonoid · cited by 12281AddCommMonoidAddMonoidHom · cited by 3230AddMonoidHomAddZeroClass · cited by 1237AddZeroClassAddMonoidHom.add_applyCITED BYCITES

Cites4

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Cited by1

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