Theorems · Theorem · linear algebra
Matrix.matPolyEquiv_charmatrix
∀ {R : Type u_1} [inst : CommRing R] {n : Type u_4} [inst_1 : DecidableEq n] [inst_2 : Fintype n] (M : Matrix n n R),
matPolyEquiv M.charmatrix = Polynomial.X - Polynomial.C M- Cited by
- 3 results in Mathlib
- Foundations
- Depth 124 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingDecidableEqFintype
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites27
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- RingHomstatement · cited by 10,189
- Fintypestatement and proof · cited by 7,736
- Polynomialstatement and proof · cited by 5,681
- Matrixstatement and proof · cited by 4,303
- AlgEquivstatement · cited by 1,681
- Polynomial.Xstatement and proof · cited by 1,639
- Polynomial.Cstatement and proof · cited by 1,598
- Polynomial.coeffproof · cited by 1,045
- sub_selfproof · cited by 996
- sub_zeroproof · cited by 938
Cited by3
Results whose statement or proof uses this declaration.
- Matrix.aeval_self_charpolyproof · cited by 6
- Matrix.det_eq_sign_charpoly_coeffproof · cited by 5
- FiniteField.Matrix.charpoly_pow_cardproof · cited by 2