Theorems · Inductive type · general algebraic systems
IsAddApply
(F : Type u_1) → (α : outParam (Type u_2)) → (β : outParam (Type u_3)) → [FunLike F α β] → [Add β] → [Add F] → Prop
IsAddApply F α β states for all f g : F and x : α, (f + g) x = f x + g x.
- Defined in
- Mathlib.Data.FunLike.IsApply
- Cited by
- 75 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- FunLikestatement · cited by 2,560
Cited by109
Results whose statement or proof uses this declaration.
- add_applystatement · cited by 154
- sum_applystatement and proof · cited by 83
- FunLike.coe_addstatement and proof · cited by 30
- FunLike.coeAddMonoidHomstatement and proof · cited by 19
- FunLike.coeAddMonoidHom_applystatement and proof · cited by 7
- FunLike.coe_sumstatement and proof · cited by 6
- FunLike.coeAddHomstatement and proof · cited by 4
- FunLike.coe_coeAddMonoidHomstatement and proof · cited by 4
- FunLike.coeAddMonoidHom_injectivestatement and proof · cited by 3
- IsAddApply.add_applystatement and proof · cited by 1
- FunLike.coe_coeAddHomstatement and proof · cited by 1
- AddGroupNorm.add_applystatement · cited by 0