Theorems · Theorem · commutative algebra
MulSemiringAction.smul_coeff_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) (n : ℕ) (g : G),
g • (MulSemiringAction.charpoly G b).coeff n = (MulSemiringAction.charpoly G b).coeff n- Defined in
- Mathlib.RingTheory.Invariant.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 111 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
- Polynomialproof · cited by 5,681
- Polynomial.coeffstatement and proof · cited by 1,045
- MulSemiringActionstatement and proof · cited by 423
- Polynomial.coeff_smulproof · cited by 31
- MulSemiringAction.charpolystatement and proof · cited by 11
- MulSemiringAction.smul_charpolyproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Algebra.IsInvariant.charpoly_mem_liftsproof · cited by 3