Theorems · Theorem · ring theory
Finsupp.prod_fintype
∀ {α : Type u_1} {M : Type u_8} {N : Type u_10} [inst : Zero M] [inst_1 : CommMonoid N] [inst_2 : Fintype α]
(f : α →₀ M) (g : α → M → N), (∀ (i : α), g i 0 = 1) → f.prod g = ∏ i, g i (f i)- Cited by
- 4 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- ZeroCommMonoidFintype
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.coestatement · cited by 62,936
- Fintypestatement and proof · cited by 7,736
- Finsuppstatement and proof · cited by 5,255
- Finset.univstatement and proof · cited by 3,473
- Finset.prodstatement · cited by 2,356
- CommMonoidstatement and proof · cited by 2,264
- Finsupp.supportproof · cited by 828
- Finsupp.prodstatement · cited by 231
- Finset.subset_univproof · cited by 60
- Finsupp.prod_of_support_subsetproof · cited by 13
Cited by4
Results whose statement or proof uses this declaration.
- Finsupp.prod_powproof · cited by 13
- Finsupp.prod_zpowproof · cited by 2
- Polynomial.homogenize_eq_of_isHomogeneousproof · cited by 1
- MvPolynomial.monomial_fin_twoproof · cited by 0