Theorems · Definition · number theory
Real.goldenRatio
ℝ
The golden ratio φ := (1 + √5)/2.
- Defined in
- Mathlib.NumberTheory.Real.GoldenRatio
- Cited by
- 25 results in Mathlib
- Foundations
- Depth 126 from the axioms · uses propext, Classical.choice, Quot.sound
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.
Cited by25
Results whose statement or proof uses this declaration.
- Real.inv_goldenRatiostatement · cited by 4
- Real.coe_fib_eqstatement and proof · cited by 3
- Real.goldenRatio_add_goldenConjstatement · cited by 3
- Real.goldenRatio_posstatement · cited by 3
- Real.goldenRatio_sqstatement · cited by 3
- Real.one_lt_goldenRatiostatement and proof · cited by 2
- Real.goldenRatio_mul_goldenConjstatement · cited by 2
- tendsto_fib_succ_div_fib_atTopstatement and proof · cited by 1
- Real.coe_fib_eq'statement and proof · cited by 1
- Real.geom_goldenRatio_isSol_fibRecstatement and proof · cited by 1
- Real.inv_goldenConjstatement · cited by 1
- Real.one_sub_goldenConjstatement and proof · cited by 1