Theorems · Theorem · field theory
FixedPoints.rank_le_card
∀ (G : Type u) [inst : Group G] (F : Type v) [inst_1 : Field F] [inst_2 : MulSemiringAction G F] [inst_3 : Fintype G], Module.rank (↥(FixedPoints.subfield G F)) F ≤ ↑(Fintype.card G)
- Defined in
- Mathlib.FieldTheory.Fixed
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 120 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetproof · cited by 13,712
- Fintypestatement and proof · cited by 7,736
- Fieldstatement and proof · cited by 7,404
- Groupstatement and proof · cited by 6,238
- Cardinalstatement · cited by 2,598
- Finset.cardproof · cited by 2,327
- Fintype.cardstatement and proof · cited by 1,386
- Cardinal.liftproof · cited by 583
- LinearIndependentproof · cited by 560
- Module.rankstatement · cited by 496
- MulSemiringActionstatement and proof · cited by 423
- Subfieldstatement · cited by 303
Cited by1
Results whose statement or proof uses this declaration.
- FixedPoints.finrank_le_cardproof · cited by 1