Theorems · Theorem · ring theory
star_finsuppProd
∀ {R : Type u_1} {ι : Type u_2} {M : Type u_3} [inst : Zero M] [inst_1 : CommMonoid R] [inst_2 : StarMul R] (s : ι →₀ M)
(f : ι → M → R), star (s.prod f) = s.prod fun i m => star f i m- Defined in
- Mathlib.Algebra.Star.BigOperators
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- ZeroCommMonoidStarMul
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Finsuppstatement and proof · cited by 5,255
- Finset.prodproof · cited by 2,356
- CommMonoidstatement and proof · cited by 2,264
- Star.starstatement and proof · cited by 1,082
- Finsupp.supportproof · cited by 828
- Finset.prod_congrproof · cited by 646
- Finsupp.prodstatement · cited by 231
- StarMulstatement and proof · cited by 195
- star_prodproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.