Theorems · Theorem · linear algebra
Matrix.minpoly_dvd_charpoly
∀ {n : Type v} [inst : DecidableEq n] [inst_1 : Fintype n] {K : Type u_1} [inst_2 : Field K] (M : Matrix n n K),
minpoly K M ∣ M.charpoly- Cited by
- 0 results in Mathlib
- Foundations
- Depth 126 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqFintypeField
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fintypestatement and proof · cited by 7,736
- Fieldstatement and proof · cited by 7,404
- Polynomialstatement · cited by 5,681
- Matrixstatement and proof · cited by 4,303
- minpolystatement · cited by 439
- Matrix.charpolystatement · cited by 82
- minpoly.dvdproof · cited by 31
- Matrix.aeval_self_charpolyproof · cited by 6
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