Theorems · Theorem · general topology
UpperHalfPlane.subset_verticalStrip_of_isCompact
∀ {K : Set UpperHalfPlane}, IsCompact K → ∃ A B, 0 < B ∧ K ⊆ UpperHalfPlane.verticalStrip A B- Cited by
- 2 results in Mathlib
- Foundations
- Depth 166 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites24
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Realstatement · cited by 25,697
- Set.Nonemptyproof · cited by 2,627
- absproof · cited by 1,814
- IsCompactstatement and proof · cited by 1,282
- UpperHalfPlanestatement and proof · cited by 626
- Continuous.compproof · cited by 371
- Continuous.continuousOnproof · cited by 311
- Set.eq_empty_or_nonemptyproof · cited by 248
- UpperHalfPlane.improof · cited by 128
- IsMaxOnproof · cited by 114
- IsMinOnproof · cited by 96
Cited by2
Results whose statement or proof uses this declaration.
- EisensteinSeries.eisensteinSeries_tendstoLocallyUniformlyproof · cited by 1
- summableLocallyUniformlyOn_iteratedDerivWithin_cotTermproof · cited by 0