Theorems · Theorem · general topology
UpperHalfPlane.mem_verticalStrip_iff
∀ (A B : ℝ) (z : UpperHalfPlane), z ∈ UpperHalfPlane.verticalStrip A B ↔ |z.re| ≤ A ∧ B ≤ z.im
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- Foundations
- Depth 106 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.
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- absstatement · cited by 1,814
- UpperHalfPlanestatement and proof · cited by 626
- UpperHalfPlane.imstatement · cited by 128
- UpperHalfPlane.restatement · cited by 63
- UpperHalfPlane.verticalStripstatement · cited by 11
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