Theorems · Theorem · group theory
zpow_mod_natCard
∀ {G : Type u_6} [inst : Group G] (a : G) (n : ℤ), a ^ (n % ↑(Nat.card G)) = a ^ n- Defined in
- Mathlib.GroupTheory.OrderOfElement
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Group
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Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Groupstatement and proof · cited by 6,238
- Nat.cardstatement and proof · cited by 844
- orderOf_dvd_natCardproof · cited by 14
- zpow_mod_orderOfproof · cited by 6
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