Theorems · Theorem · number theory
FiniteField.nonempty_algHom_extension
∀ (k : Type u_1) [inst : Field k] [Finite k] (p : ℕ) [inst_2 : Fact (Nat.Prime p)] [inst_3 : CharP k p] (n : ℕ) [NeZero n] [inst_5 : Algebra (ZMod p) k], Nonempty (k →ₐ[ZMod p] FiniteField.Extension k p n)
- Defined in
- Mathlib.FieldTheory.Finite.Extension
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 159 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Algebrastatement and proof · cited by 11,388
- Fieldstatement and proof · cited by 7,404
- AlgHomstatement · cited by 3,236
- Finitestatement and proof · cited by 3,029
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- Module.finrankproof · cited by 1,770
- ZModstatement and proof · cited by 1,024
- CharPstatement and proof · cited by 478
- dvd_mul_rightproof · cited by 89
- FiniteField.Extensionstatement · cited by 13
- FiniteField.nonempty_algHom_of_finrank_dvdproof · cited by 3
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