Theorems · Theorem · group theory
pow_mod_natCard
∀ {G : Type u_6} [inst : Group G] (a : G) (n : ℕ), a ^ (n % Nat.card G) = a ^ n- Defined in
- Mathlib.GroupTheory.OrderOfElement
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Group
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.
- Groupstatement and proof · cited by 6,238
- Nat.cardstatement and proof · cited by 844
- orderOf_dvd_natCardproof · cited by 14
- pow_mod_orderOfproof · cited by 12
Cited by1
Results whose statement or proof uses this declaration.
- pow_zmod_val_inv_powproof · cited by 1