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Theorems · Theorem · group theory

finprod_pow

∀ {α : Type u_1} {M : Type u_5} [inst : CommMonoid M] {f : α → M},
  Function.HasFiniteMulSupport f → ∀ (n : ℕ), (∏ᶠ (i : α), f i) ^ n = ∏ᶠ (i : α), f i ^ n
Defined in
Mathlib.Algebra.BigOperators.Finprod
Cited by
2 results in Mathlib
Foundations
Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommMonoid
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Around this declaration

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Height.mulHeight_pow · cited by 3Height.mulHeight_powHeight.mulHeight_eval_le · cited by 3Height.mulHeight_eval_leCommMonoid · cited by 2264CommMonoidfinprod · cited by 257finprodFunction.HasFiniteMulSupport · cited by 99Function.HasFiniteMulSupp…powMonoidHom · cited by 35powMonoidHomMonoidHom.map_finprod · cited by 4MonoidHom.map_finprodfinprod_powCITED BYCITES

Cites5

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Cited by2

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