Theorems · Theorem · number theory
Real.goldenRatio_pos
0 < Real.goldenRatio
- Defined in
- Mathlib.NumberTheory.Real.GoldenRatio
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 131 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Nat.cast_oneproof · cited by 2,501
- Nat.cast_zeroproof · cited by 1,870
- mul_posproof · cited by 374
- zero_lt_twoproof · cited by 124
- inv_posproof · cited by 124
- add_posproof · cited by 28
- Real.goldenRatiostatement · cited by 25
Cited by3
Results whose statement or proof uses this declaration.
- Real.one_lt_goldenRatioproof · cited by 2
- tendsto_fib_succ_div_fib_atTopproof · cited by 1
- Real.goldenRatio_ne_zeroproof · cited by 0