Theorems · Theorem · group theory
MulEquivClass.map_finprod
∀ {M : Type u_2} {N : Type u_3} {α : Sort u_4} [inst : CommMonoid M] [inst_1 : CommMonoid N] {F : Type u_7}
[inst_2 : EquivLike F M N] [MulEquivClass F M N] (g : F) (f : α → M), g (∏ᶠ (i : α), f i) = ∏ᶠ (i : α), g (f i)- Defined in
- Mathlib.Algebra.BigOperators.Finprod
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- DFunLike.coestatement · cited by 62,936
- CommMonoidstatement and proof · cited by 2,264
- finprodstatement · cited by 257
- EquivLikestatement and proof · cited by 165
- MulEquivClass.toMulEquivproof · cited by 57
- MulEquivClassstatement and proof · cited by 30
- MulEquiv.map_finprodproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- map_finsetProdproof · cited by 1