Mathlib Map

Theorems · Theorem · general topology

Filter.map_le_map_iff

∀ {α : Type u_1} {β : Type u_2} {f g : Filter α} {m : α → β},
  Function.Injective m → (Filter.map m f ≤ Filter.map m g ↔ f ≤ g)
Defined in
Mathlib.Order.Filter.Map
Cited by
2 results in Mathlib
Foundations
Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Topology.IsOpenEmbedding.isOpenMap_iff · cited by 4IsOpenEmbedding.isOpenMap…IsDiscrete.preimage · cited by 1IsDiscrete.preimageFilter · cited by 8121FilterFilter.map · cited by 819Filter.mapFilter.map_le_iff_le_comap · cited by 19Filter.map_le_iff_le_comapFilter.comap_map · cited by 12Filter.comap_mapFilter.map_le_map_iffCITED BYCITES

Cites4

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Cited by2

Results whose statement or proof uses this declaration.