Theorems · Inductive type · general algebraic systems
IsMulApply
(F : Type u_1) → (α : outParam (Type u_2)) → (β : outParam (Type u_3)) → [FunLike F α β] → [Mul β] → [Mul F] → Prop
IsMulApply 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
- 18 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 by42
Results whose statement or proof uses this declaration.
- FunLike.coeMonoidHomstatement and proof · cited by 6
- FunLike.coeMulHomstatement and proof · cited by 4
- FunLike.coe_mulstatement and proof · cited by 4
- mul_applystatement · cited by 2
- prod_applystatement and proof · cited by 1
- IsMulApply.mul_applystatement and proof · cited by 1
- FunLike.coeMonoidHom_applystatement and proof · cited by 1
- FunLike.coeMonoidHom_injectivestatement and proof · cited by 1
- FunLike.coe_coeMonoidHomstatement and proof · cited by 1
- FunLike.coe_coeMulHomstatement and proof · cited by 1
- ContinuousLinearMap.coe_mul'statement · cited by 0
- CuspForm.coeHomstatement · cited by 0