Theorems · Theorem · group theory
FunLike.coe_prod
∀ {F : Type u_8} {α : Type u_9} {β : Type u_10} {ι : Type u_11} [inst : FunLike F α β] [inst_1 : CommMonoid β]
[inst_2 : CommMonoid F] [IsOneApply F α β] [IsMulApply F α β] (s : Finset ι) (f : ι → F),
⇑(∏ i ∈ s, f i) = ∏ i ∈ s, ⇑(f i)- Defined in
- Mathlib.Algebra.BigOperators.Pi
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites9
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
- Finsetstatement and proof · cited by 13,712
- FunLikestatement and proof · cited by 2,560
- Finset.prodstatement and proof · cited by 2,356
- CommMonoidstatement and proof · cited by 2,264
- Finset.prod_applyproof · cited by 70
- IsMulApplystatement and proof · cited by 18
- IsOneApplystatement and proof · cited by 12
- prod_applyproof · cited by 1
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