Theorems · Theorem · order theory
Complex.zero_lt_real
∀ {x : ℝ}, 0 < ↑x ↔ 0 < x- Defined in
- Mathlib.Analysis.Complex.Order
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 112 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- Complexstatement · cited by 5,565
- Complex.ofRealstatement · cited by 1,654
- Complex.partialOrderstatement · cited by 64
- Complex.real_lt_realproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- Mathlib.Meta.Positivity.ofReal_posproof · cited by 4
- Complex.starConvex_ofReal_slitPlaneproof · cited by 0