Theorems · Theorem · general topology
Filter.range_mem_map
∀ {α : Type u_1} {β : Type u_2} {f : Filter α} {m : α → β}, Set.range m ∈ Filter.map m f- Defined in
- Mathlib.Order.Filter.Map
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 17 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 and proof · cited by 53,352
- Filterstatement and proof · cited by 8,121
- Set.rangestatement · cited by 4,705
- Filter.mapstatement and proof · cited by 819
- Set.image_univproof · cited by 322
- Filter.univ_memproof · cited by 96
- Filter.image_mem_mapproof · cited by 39
Cited by8
Results whose statement or proof uses this declaration.
- Filter.map_comapproof · cited by 10
- denseRange_pureproof · cited by 2
- mapClusterPt_atTop_nsmul_tfaeproof · cited by 2
- mapClusterPt_atTop_pow_tfaeproof · cited by 2
- Equicontinuous.tendsto_uniformFun_iff_piproof · cited by 1
- MeasurableEmbedding.integrableAtFilter_iff_comapproof · cited by 1
- isUniformEmbedding_inlproof · cited by 0
- isUniformEmbedding_inrproof · cited by 0