Theorems · Theorem · field theory
FixedPoints.isIntegral
∀ (G : Type u) [inst : Group G] (F : Type v) [inst_1 : Field F] [inst_2 : MulSemiringAction G F] [Finite G] (x : F), IsIntegral (↥(FixedPoints.subfield G F)) x
- Defined in
- Mathlib.FieldTheory.Fixed
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 115 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fintypeproof · cited by 7,736
- Fieldstatement and proof · cited by 7,404
- Groupstatement and proof · cited by 6,238
- Finitestatement and proof · cited by 3,029
- IsIntegralstatement · cited by 427
- MulSemiringActionstatement and proof · cited by 423
- Subfieldstatement · cited by 303
- nonempty_fintypeproof · cited by 261
- FixedPoints.subfieldstatement · cited by 20
- FixedPoints.minpolyproof · cited by 9
- FixedPoints.minpoly.eval₂proof · cited by 5
- FixedPoints.minpoly.monicproof · cited by 4
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