Theorems · Theorem · commutative algebra
MulSemiringAction.charpoly_eq
∀ {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 = ∏ g, (Polynomial.X - Polynomial.C (g • b))- Defined in
- Mathlib.RingTheory.Invariant.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- RingHomstatement · cited by 10,189
- Fintypestatement and proof · cited by 7,736
- Groupstatement and proof · cited by 6,238
- Polynomialstatement · cited by 5,681
- Finset.univstatement · cited by 3,473
- Finset.prodstatement · cited by 2,356
- Polynomial.Xstatement · cited by 1,639
- Polynomial.Cstatement · cited by 1,598
- MulSemiringActionstatement and proof · cited by 423
- MulSemiringAction.charpolystatement · cited by 11
Cited by1
Results whose statement or proof uses this declaration.
- MulSemiringAction.eval_charpolyproof · cited by 3