Theorems · Theorem · number theory
LinearRecurrence.charPoly_degree_eq_order
∀ {R : Type u_1} [inst : CommRing R] (E : LinearRecurrence R) [Nontrivial R], E.charPoly.degree = ↑E.order- Defined in
- Mathlib.Algebra.LinearRecurrence
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingNontrivial
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
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
- Polynomialproof · cited by 5,681
- Finset.sumproof · cited by 5,195
- Finset.univproof · cited by 3,473
- Nontrivialstatement and proof · cited by 2,416
- Finset.sum_congrproof · cited by 2,323
- WithBotstatement and proof · cited by 1,498
- one_ne_zeroproof · cited by 885
- Polynomial.degreestatement and proof · cited by 643
- Polynomial.monomialproof · cited by 256
- LinearRecurrencestatement and proof · cited by 21
Cited by1
Results whose statement or proof uses this declaration.
- LinearRecurrence.charPoly_monicproof · cited by 0