Theorems · Theorem · ring theory
map_finsuppProd
∀ {α : Type u_1} {M : Type u_8} {N : Type u_10} {P : Type u_11} [inst : Zero M] [inst_1 : CommMonoid N]
[inst_2 : CommMonoid P] {H : Type u_16} [inst_3 : FunLike H N P] [MonoidHomClass H N P] (h : H) (f : α →₀ M)
(g : α → M → N), h (f.prod g) = f.prod fun a b => h (g a b)- Cited by
- 8 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Finsuppstatement and proof · cited by 5,255
- FunLikestatement and proof · cited by 2,560
- CommMonoidstatement and proof · cited by 2,264
- Finsupp.supportproof · cited by 828
- MonoidHomClassstatement and proof · cited by 244
- Finsupp.prodstatement · cited by 231
- map_prodproof · cited by 108
Cited by8
Results whose statement or proof uses this declaration.
- MvPowerSeries.constantCoeff_subst_eq_zeroproof · cited by 7
- MvPowerSeries.prod_smul_X_eq_smul_monomial_oneproof · cited by 2
- Con.finsuppProdproof · cited by 1
- MvPolynomial.optionEquivLeft_monomialproof · cited by 1
- Con.coe_finsuppProdproof · cited by 1
- NNReal.toReal_finsuppProdproof · cited by 0
- RCLike.ofReal_finsuppProdproof · cited by 0
- ENNReal.ofNNReal_finsuppProdproof · cited by 0