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Theorems · Theorem · general topology

Complex.isOpen_re_lt_EReal

∀ (x : EReal), IsOpen {z | ↑z.re < x}

An open left half-plane (with boundary real part given by an EReal) is an open set in the complex plane.

Defined in
Mathlib.Analysis.Complex.HalfPlane
Cited by
1 results in Mathlib
Foundations
Depth 165 from the axioms · uses propext, Classical.choice, Quot.sound

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