Theorems · Definition · number theory
LinearRecurrence.mkSol
{R : Type u_1} → [inst : CommSemiring R] → (E : LinearRecurrence R) → (Fin E.order → R) → ℕ → RA solution of a LinearRecurrence which satisfies certain initial conditions.
We will prove this is the only such solution.
- Defined in
- Mathlib.Algebra.LinearRecurrence
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 56 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- Finset.sumproof · cited by 5,195
- Finset.univproof · cited by 3,473
- LinearRecurrencestatement and proof · cited by 21
- LinearRecurrence.orderstatement and proof · cited by 17
- LinearRecurrence.coeffsproof · cited by 7
Cited by7
Results whose statement or proof uses this declaration.
- LinearRecurrence.toInitproof · cited by 1
- LinearRecurrence.eq_mk_of_is_sol_of_eq_initstatement and proof · cited by 1
- LinearRecurrence.mkSol_eq_initstatement and proof · cited by 0
- LinearRecurrence.mkSol_injectivestatement · cited by 0
- LinearRecurrence.mkSol.eq_defstatement and proof · cited by 0
- LinearRecurrence.eq_mk_of_is_sol_of_eq_init'statement · cited by 0
- LinearRecurrence.is_sol_mkSolstatement and proof · cited by 0