Theorems · Theorem · field theory
finInsepDegree_eq_pow
∀ (F : Type u) (E : Type v) [inst : Field F] [inst_1 : Field E] [inst_2 : Algebra F E] (q : ℕ) [ExpChar F q] [FiniteDimensional F E], ∃ n, Field.finInsepDegree F E = q ^ n
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- Foundations
- Depth 196 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- FiniteDimensionalstatement and proof · cited by 1,854
- ExpCharstatement and proof · cited by 276
- separableClosureproof · cited by 55
- Field.finInsepDegreestatement · cited by 15
- IsPurelyInseparable.finrank_eq_powproof · cited by 2
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