Theorems · Theorem · general topology
Bornology.IsBounded.reProdIm
∀ {s t : Set ℝ}, Bornology.IsBounded s → Bornology.IsBounded t → Bornology.IsBounded (s ×ℂ t)- Defined in
- Mathlib.Analysis.Complex.ReImTopology
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 158 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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 and proof · cited by 25,697
- Complexstatement · cited by 5,565
- Bornology.IsBoundedstatement and proof · cited by 293
- Complex.reProdImstatement · cited by 39
- AntilipschitzWith.isBounded_preimageproof · cited by 6
- Bornology.IsBounded.prodproof · cited by 3
- Complex.antilipschitz_equivRealProdproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- PhragmenLindelof.horizontal_stripproof · cited by 3