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Theorems · Theorem · group theory

pow_left_surj_of_rootableBy

Deprecated since 2026-04-19Use RootableBy.surjective_pow instead.

∀ (A : Type u_1) (α : Type u_2) [inst : Monoid A] [inst_1 : Pow A α] [inst_2 : Zero α] [RootableBy A α] {n : α},
  n ≠ 0 → Function.Surjective fun a => a ^ n

Alias of RootableBy.surjective_pow.

Defined in
Mathlib.GroupTheory.Divisible
Cited by
0 results in Mathlib
Foundations
Depth 6 from the axioms · uses no axioms
Assumes
MonoidPowZeroRootableBy
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Monoid · cited by 3887MonoidRootableBy · cited by 6RootableByRootableBy.surjective_pow · cited by 2RootableBy.surjective_powpow_left_surj_of_rootableByCITED BYCITES

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