Theorems · Theorem · group theory
IsPGroup.powEquiv_symm_apply
∀ {p : ℕ} {G : Type u_1} [inst : Group G] (hG : IsPGroup p G) {n : ℕ} (hn : p.Coprime n) (g : G),
(hG.powEquiv hn).symm g = g ^ (orderOf g).gcdB n- Defined in
- Mathlib.GroupTheory.PGroup
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Group
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Cites9
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
- Equivstatement · cited by 8,337
- Groupstatement and proof · cited by 6,238
- Equiv.symmstatement and proof · cited by 3,681
- orderOfstatement · cited by 324
- IsPGroupstatement and proof · cited by 96
- Nat.gcdBstatement and proof · cited by 21
- Nat.card_zpowersproof · cited by 13
- IsPGroup.powEquivstatement and proof · cited by 2
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