Theorems · Definition · number theory
Real.goldenConj
ℝ
The conjugate of the golden ratio ψ := (1 - √5)/2.
- Defined in
- Mathlib.NumberTheory.Real.GoldenRatio
- Cited by
- 23 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 by23
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 and proof · cited by 3
- Real.goldenRatio_mul_goldenConjstatement · cited by 2
- Real.goldenConj_negstatement and proof · cited by 2
- Real.geom_goldenConj_isSol_fibRecstatement and proof · cited by 1
- Real.inv_goldenConjstatement and proof · cited by 1
- tendsto_fib_succ_div_fib_atTopproof · cited by 1
- Real.coe_fib_eq'statement and proof · cited by 1
- Real.goldenConj_sqstatement · cited by 1
- Real.one_sub_goldenConjstatement and proof · cited by 1
- Real.goldenRatio_sub_goldenConjstatement · cited by 1