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Theorems · Theorem · group theory

Finset.image_pow_of_ne_zero

∀ {F : Type u_1} {α : Type u_2} {β : Type u_3} [inst : DecidableEq α] [inst_1 : DecidableEq β] [inst_2 : Monoid α]
  [inst_3 : Monoid β] [inst_4 : FunLike F α β] [MulHomClass F α β] {n : ℕ},
  n ≠ 0 → ∀ (f : F) (s : Finset α), Finset.image (⇑f) (s ^ n) = Finset.image (⇑f) s ^ n
Defined in
Mathlib.Algebra.Group.Pointwise.Finset.Basic
Cited by
1 results in Mathlib
Foundations
Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
DecidableEqDecidableEqMonoidMonoidFunLikeMulHomClass
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Finset.image_pow · cited by 0Finset.image_powDFunLike.coe · cited by 62936DFunLike.coeFinset · cited by 13712FinsetMonoid · cited by 3887MonoidFunLike · cited by 2560FunLikeFinset.image · cited by 910Finset.imageMulHomClass · cited by 73MulHomClassFinset.npow · cited by 30Finset.npowFinset.monoid · cited by 20Finset.monoidFinset.image_pow_of_ne_zeroCITED BYCITES

Cites8

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Cited by1

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