Theorems · Theorem · group theory
Finset.image_pow
∀ {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] [MonoidHomClass F α β] (f : F) (s : Finset α) (n : ℕ),
Finset.image (⇑f) (s ^ n) = Finset.image (⇑f) s ^ n- Cited by
- 0 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites12
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
- Monoidstatement and proof · cited by 3,887
- FunLikestatement and proof · cited by 2,560
- pow_zeroproof · cited by 1,094
- Finset.imagestatement and proof · cited by 910
- map_oneproof · cited by 861
- MonoidHomClassstatement and proof · cited by 244
- Finset.npowstatement · cited by 30
- Finset.monoidstatement · cited by 20
- Finset.image_oneproof · cited by 3
- Finset.image_pow_of_ne_zeroproof · cited by 1
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