Theorems · Theorem · number theory
Real.fib_isSol_fibRec
∀ {α : Type u_1} [inst : CommSemiring α], Real.fibRec.IsSolution fun x => ↑(Nat.fib x)As expected, the Fibonacci sequence is a solution of fibRec.
- Defined in
- Mathlib.NumberTheory.Real.GoldenRatio
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 80 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.
Cites23
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
- one_mulproof · cited by 2,841
- add_zeroproof · cited by 2,707
- zero_addproof · cited by 2,366
- Finset.sum_congrproof · cited by 2,323
- add_commproof · cited by 1,535
- Finset.rangeproof · cited by 1,341
- Matrix.vecConsproof · cited by 852
- Matrix.vecEmptyproof · cited by 832
- Nat.cast_addproof · cited by 586
Cited by1
Results whose statement or proof uses this declaration.
- Real.coe_fib_eq'proof · cited by 1