Theorems · Theorem · number theory
Real.geom_goldenRatio_isSol_fibRec
Real.fibRec.IsSolution fun x => Real.goldenRatio ^ x
The geometric sequence fun n ↦ φ^n is a solution of fibRec.
- Defined in
- Mathlib.NumberTheory.Real.GoldenRatio
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 133 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Polynomialproof · cited by 5,681
- Polynomial.Xproof · cited by 1,639
- sub_selfproof · cited by 996
- Polynomial.eval_Xproof · cited by 172
- Polynomial.IsRootproof · cited by 152
- Polynomial.eval_subproof · cited by 124
- Polynomial.eval_oneproof · cited by 86
- Polynomial.eval_addproof · cited by 84
- Polynomial.eval_powproof · cited by 75
- Real.goldenRatiostatement and proof · cited by 25
- LinearRecurrence.IsSolutionstatement · cited by 11
Cited by1
Results whose statement or proof uses this declaration.
- Real.coe_fib_eq'proof · cited by 1