Theorems · Theorem · group theory
RootableBy.surjective_pow
∀ (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- Defined in
- Mathlib.GroupTheory.Divisible
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
- Assumes
- MonoidPowZeroRootableBy
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Monoidstatement and proof · cited by 3,887
- RootableBystatement and proof · cited by 6
- RootableBy.rootproof · cited by 3
- RootableBy.root_cancelproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.measurePreserving_zpowproof · cited by 1
- pow_left_surj_of_rootableByproof · cited by 0