Theorems · Definition · general topology
UpperHalfPlane.verticalStrip
ℝ → ℝ → Set UpperHalfPlane
The vertical strip of width A and height B, defined by elements whose real part has absolute
value less than or equal to A and imaginary part is at least B.
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- Set.ofPredproof · cited by 6,101
- absproof · cited by 1,814
- UpperHalfPlanestatement and proof · cited by 626
- UpperHalfPlane.improof · cited by 128
- UpperHalfPlane.reproof · cited by 63
Cited by11
Results whose statement or proof uses this declaration.
- EisensteinSeries.summand_bound_of_mem_verticalStripstatement and proof · cited by 2
- UpperHalfPlane.verticalStrip_monostatement and proof · cited by 2
- UpperHalfPlane.subset_verticalStrip_of_isCompactstatement and proof · cited by 2
- UpperHalfPlane.ModularGroup_T_zpow_mem_verticalStripstatement and proof · cited by 1
- EisensteinSeries.isBoundedAtImInfty_eisensteinSeriesSIFproof · cited by 1
- EisensteinSeries.eisensteinSeries_tendstoLocallyUniformlyproof · cited by 1
- UpperHalfPlane.verticalStrip_anti_rightstatement · cited by 1
- EisensteinSeries.r_lower_bound_on_verticalStripstatement and proof · cited by 1
- UpperHalfPlane.mem_verticalStrip_iffstatement · cited by 0
- UpperHalfPlane.verticalStrip_mono_leftstatement · cited by 0
- summableLocallyUniformlyOn_iteratedDerivWithin_cotTermproof · cited by 0