Theorems · Definition · number theory
LinearRecurrence.order
{R : Type u_1} → [inst : CommSemiring R] → LinearRecurrence R → ℕOrder of the linear recurrence
- Defined in
- Mathlib.Algebra.LinearRecurrence
- Cited by
- 17 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
- Assumes
- CommSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommSemiringstatement and proof · cited by 10,911
- LinearRecurrencestatement and proof · cited by 21
Cited by24
Results whose statement or proof uses this declaration.
- LinearRecurrence.IsSolutionproof · cited by 11
- LinearRecurrence.coeffsstatement · cited by 7
- LinearRecurrence.mkSolstatement and proof · cited by 6
- LinearRecurrence.basisstatement · cited by 4
- LinearRecurrence.charPolyproof · cited by 4
- LinearRecurrence.eq_iff_eqOn_range_orderstatement and proof · cited by 2
- LinearRecurrence.geom_sol_iff_root_charPolyproof · cited by 2
- Real.fibRec_charPoly_eqproof · cited by 2
- LinearRecurrence.charPoly_degree_eq_orderstatement and proof · cited by 1
- LinearRecurrence.eq_mk_of_is_sol_of_eq_initstatement and proof · cited by 1
- Real.fib_isSol_fibRecproof · cited by 1
- LinearRecurrence.toInitstatement and proof · cited by 1