Theorems · Theorem · number theory
FiniteField.Matrix.charpoly_pow_card
∀ {n : Type u_1} [inst : DecidableEq n] [inst_1 : Fintype n] {K : Type u_2} [inst_2 : Field K] [inst_3 : Fintype K]
(M : Matrix n n K), (M ^ Fintype.card K).charpoly = M.charpoly- Cited by
- 2 results in Mathlib
- Foundations
- Depth 125 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites40
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Fintypestatement and proof · cited by 7,736
- Fieldstatement and proof · cited by 7,404
- Polynomialstatement and proof · cited by 5,681
- Matrixstatement and proof · cited by 4,303
- Factproof · cited by 2,726
- Nat.Primeproof · cited by 2,059
- Polynomial.Xproof · cited by 1,639
- Polynomial.Cproof · cited by 1,598
- Fintype.cardstatement and proof · cited by 1,386
- IsEmptyproof · cited by 759
- Nat.iterateproof · cited by 740
Cited by2
Results whose statement or proof uses this declaration.
- FiniteField.trace_pow_cardproof · cited by 1
- ZMod.charpoly_pow_cardproof · cited by 0