Theorems · Theorem · number theory
GaloisField.finrank
∀ (p : ℕ) [h_prime : Fact (Nat.Prime p)] {n : ℕ}, n ≠ 0 → Module.finrank (ZMod p) (GaloisField p n) = n- Defined in
- Mathlib.FieldTheory.Finite.GaloisField
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 157 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.
Cites67
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommRingproof · cited by 17,173
- Algebraproof · cited by 11,388
- Top.topproof · cited by 9,680
- Fintypeproof · cited by 7,736
- Set.Elemproof · cited by 7,166
- Polynomialproof · cited by 5,681
- Algebra.algebraMapproof · cited by 4,706
- Set.rangeproof · cited by 4,705
- Set.univproof · cited by 3,945
- one_mulproof · cited by 2,841
- Factstatement and proof · cited by 2,726
Cited by2
Results whose statement or proof uses this declaration.
- FiniteField.finrank_zmod_extensionproof · cited by 2
- GaloisField.cardproof · cited by 1