Theorems · Theorem · general topology
Complex.isOpen_re_lt
∀ (x : ℝ), IsOpen {z | z.re < x}An open left half-plane is an open set in the complex plane.
- Defined in
- Mathlib.Analysis.Complex.HalfPlane
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 166 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites7
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
- Set.ofPredstatement and proof · cited by 6,101
- Complexstatement and proof · cited by 5,565
- IsOpenstatement and proof · cited by 2,400
- Complex.restatement · cited by 882
- Real.toERealproof · cited by 303
- Complex.isOpen_re_lt_ERealproof · cited by 1
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