Theorems · Theorem · general algebraic systems
FunLike.coe_mul_eq_comp
∀ {F' : Type u_4} {α : Type u_5} [inst : FunLike F' α α] [inst_1 : Mul F'] [IsMulApplyEqComp F' α] (f g : F'),
⇑(f * g) = ⇑f ∘ ⇑g- Defined in
- Mathlib.Data.FunLike.IsApply
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses propext, Quot.sound
- Assumes
- FunLikeMulIsMulApplyEqComp
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- FunLikestatement and proof · cited by 2,560
- mul_apply_eq_compproof · cited by 10
- IsMulApplyEqCompstatement and proof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- RKHS.posSemidef_tfaeproof · cited by 0