Theorems · Theorem · number theory
FiniteField.finrank_extension
∀ (k : Type u_1) [inst : Field k] [inst_1 : Finite k] (p : ℕ) [inst_2 : Fact (Nat.Prime p)] [inst_3 : CharP k p] (n : ℕ) [inst_4 : NeZero n], Module.finrank k (FiniteField.Extension k p n) = n
- Defined in
- Mathlib.FieldTheory.Finite.Extension
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 163 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fieldstatement and proof · cited by 7,404
- Finitestatement and proof · cited by 3,029
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- Module.finrankstatement and proof · cited by 1,770
- Nat.cardproof · cited by 844
- CharPstatement and proof · cited by 478
- Nat.pow_right_injectiveproof · cited by 23
- FiniteField.Extensionstatement and proof · cited by 13
- Finite.one_lt_cardproof · cited by 12
- FiniteField.natCard_extensionproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- FiniteField.Extension.exists_frob_pow_eqproof · cited by 1
- Irreducible.natDegree_dvd_of_dvd_X_pow_card_pow_sub_Xproof · cited by 1
- FiniteField.natCard_algEquiv_extensionproof · cited by 1