Theorems · Theorem · number theory
GaloisField.card
∀ (p : ℕ) [h_prime : Fact (Nat.Prime p)] (n : ℕ), n ≠ 0 → Nat.card (GaloisField p n) = p ^ n
- Defined in
- Mathlib.FieldTheory.Finite.GaloisField
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 158 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Fact
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fintypeproof · cited by 7,736
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- Module.finrankproof · cited by 1,770
- Module.Basisproof · cited by 1,477
- Fintype.cardproof · cited by 1,386
- ZModproof · cited by 1,024
- Nat.cardstatement · cited by 844
- Fintype.ofFiniteproof · cited by 255
- Nat.card_eq_fintype_cardproof · cited by 200
- Module.finrank_eq_card_basisproof · cited by 40
- ZMod.cardproof · cited by 36
Cited by1
Results whose statement or proof uses this declaration.
- Fintype.nonempty_field_iffproof · cited by 2