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Theorems · Definition · commutative algebra

FunLike.addAction

{M : Type u_1} →
  {F : Type u_3} →
    {α : Type u_4} →
      {β : Type u_5} →
        [i : FunLike F α β] →
          [inst : VAdd M F] → [inst_1 : AddMonoid M] → [inst_2 : AddAction M β] → [IsVAddApply M F α β] → AddAction M F

A FunLike type with scalar multiplication that satisfies (m • f) x = m • f x is an AddAction if β is an AddAction.

Defined in
Mathlib.Data.FunLike.Module
Cited by
0 results in Mathlib
Foundations
Depth 10 from the axioms · uses propext, Quot.sound
Assumes
FunLikeVAddAddMonoidAddActionIsVAddApply
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Around this declaration

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DFunLike.coe · cited by 62936DFunLike.coeAddMonoid · cited by 2864AddMonoidFunLike · cited by 2560FunLikeAddAction · cited by 820AddActionVAdd · cited by 616VAddIsVAddApply · cited by 3IsVAddApplyFunction.Injective.addAction · cited by 0Injective.addActionFunLike.addActionCITED BYCITES

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