Theorems · Theorem · general algebraic systems
IsMulApplyEqComp.mul_apply_eq_comp
∀ {F : Type u_1} {α : outParam (Type u_2)} {inst : FunLike F α α} {inst_1 : Mul F} [self : IsMulApplyEqComp F α]
(f g : F) (x : α), (f * g) x = f (g x)- Defined in
- Mathlib.Data.FunLike.IsApply
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
- Assumes
- IsMulApplyEqComp
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- FunLikestatement and proof · cited by 2,560
- IsMulApplyEqCompstatement and proof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- mul_apply_eq_compproof · cited by 10