Theorems · Theorem · number theory
FiniteField.pow_card_pow
∀ {K : Type u_1} [inst : GroupWithZero K] [inst_1 : Fintype K] (n : ℕ) (a : K), a ^ Fintype.card K ^ n = a- Defined in
- Mathlib.FieldTheory.Finite.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- GroupWithZeroFintype
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fintypestatement and proof · cited by 7,736
- Fintype.cardstatement and proof · cited by 1,386
- pow_zeroproof · cited by 1,094
- pow_oneproof · cited by 894
- GroupWithZerostatement and proof · cited by 691
- pow_succproof · cited by 374
- pow_mulproof · cited by 210
- FiniteField.pow_cardproof · cited by 8
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