Theorems · Theorem · commutative algebra
MulSemiringAction.splits_charpoly
∀ {B : Type u_2} (G : Type u_3) [inst : CommRing B] [inst_1 : Group G] [inst_2 : MulSemiringAction G B]
[inst_3 : Fintype G] (b : B), (MulSemiringAction.charpoly G b).Splits- Defined in
- Mathlib.RingTheory.Invariant.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Fintypestatement and proof · cited by 7,736
- Groupstatement and proof · cited by 6,238
- Finset.univproof · cited by 3,473
- MulSemiringActionstatement and proof · cited by 423
- Polynomial.Splitsstatement · cited by 290
- MulSemiringAction.charpolystatement · cited by 11
- Polynomial.Splits.X_sub_Cproof · cited by 7
- Polynomial.Splits.prodproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- Ideal.IsFractionRing.normalproof · cited by 3