Theorems · Inductive type · general algebraic systems
IsMulApplyEqComp
(F : Type u_1) → (α : outParam (Type u_2)) → [FunLike F α α] → [Mul F] → Prop
IsMulApplyEqComp F α α states for all x : α, (f * g) x = f (g x).
- Defined in
- Mathlib.Data.FunLike.IsApply
- Cited by
- 7 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 by12
Results whose statement or proof uses this declaration.
- mul_apply_eq_compstatement · cited by 10
- FunLike.coe_pow_eq_iteratestatement and proof · cited by 2
- FunLike.coe_mul_eq_compstatement and proof · cited by 1
- IsMulApplyEqComp.mul_apply_eq_compstatement and proof · cited by 1
- pow_apply_eq_iteratestatement and proof · cited by 1
- FunLike.monoidWithZerostatement and proof · cited by 0
- ContinuousLinearMap.coe_pow'statement · cited by 0
- FunLike.ringstatement and proof · cited by 0
- FunLike.semiringstatement and proof · cited by 0
- ContinuousLinearMap.mul_applystatement · cited by 0
- IsMulApplyEqComp.casesOnstatement and proof · cited by 0
- IsMulApplyEqComp.recOnstatement and proof · cited by 0