Theorems · Theorem · general topology
Real.comap_toNNReal_atTop
Filter.comap Real.toNNReal Filter.atTop = Filter.atTop
- Defined in
- Mathlib.Topology.Instances.NNReal.Lemmas
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 112 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- Filterstatement · cited by 8,121
- Set.preimageproof · cited by 4,946
- NNRealstatement · cited by 4,310
- Filter.atTopstatement · cited by 2,405
- LT.lt.leproof · cited by 2,189
- le_antisymmproof · cited by 2,068
- Filter.univ_mem'proof · cited by 1,672
- Filter.mp_memproof · cited by 1,537
- Set.Ioiproof · cited by 1,463
- Filter.comapstatement · cited by 546
- Real.toNNRealstatement and proof · cited by 267
Cited by2
Results whose statement or proof uses this declaration.
- Real.tendsto_toNNReal_atTop_iffproof · cited by 2
- Real.comap_sqrt_atTopproof · cited by 0