Theorems · Theorem · commutative algebra
MulSemiringAction.smul_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) (g : G), g • MulSemiringAction.charpoly G b = MulSemiringAction.charpoly G b- Defined in
- Mathlib.RingTheory.Invariant.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Fintypestatement and proof · cited by 7,736
- Groupstatement and proof · cited by 6,238
- Polynomialstatement and proof · cited by 5,681
- Finset.univproof · cited by 3,473
- Finset.prodproof · cited by 2,356
- Polynomial.Xproof · cited by 1,639
- Polynomial.Cproof · cited by 1,598
- MulSemiringActionstatement and proof · cited by 423
- MulSemiringAction.charpolystatement · cited by 11
- Finset.smul_prod_permproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- MulSemiringAction.smul_coeff_charpolyproof · cited by 1