Theorems · Theorem · ring theory
star_prod
∀ {R : Type u_1} [inst : CommMonoid R] [inst_1 : StarMul R] {α : Type u_2} (s : Finset α) (f : α → R),
star (∏ x ∈ s, f x) = ∏ x ∈ s, star (f x)- Defined in
- Mathlib.Algebra.Star.BigOperators
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Quot.sound
- Assumes
- CommMonoidStarMul
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- Finset.prodstatement · cited by 2,356
- CommMonoidstatement and proof · cited by 2,264
- Star.starstatement · cited by 1,082
- StarMulstatement and proof · cited by 195
- map_prodproof · cited by 108
- starMulAutproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- star_finsuppProdproof · cited by 0