Theorems · Theorem · group theory
Finset.prod_zpow
∀ {ι : Type u_1} {G : Type u_5} [inst : DivisionCommMonoid G] (f : ι → G) (s : Finset ι) (n : ℤ),
∏ a ∈ s, f a ^ n = (∏ a ∈ s, f a) ^ n- Cited by
- 0 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Quot.sound
- Assumes
- DivisionCommMonoid
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Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- Finset.prodstatement · cited by 2,356
- DivisionCommMonoidstatement and proof · cited by 80
- Multiset.prod_map_zpowproof · cited by 1
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