Theorems · Definition · general topology
Filter.rmap
{α : Type u} → {β : Type v} → SetRel α β → Filter α → Filter βThe forward map of a filter under a relation. Generalization of Filter.map to relations. Note
that Rel.core generalizes Set.preimage.
- Defined in
- Mathlib.Order.Filter.Partial
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- Filterstatement and proof · cited by 8,121
- Set.ofPredproof · cited by 6,101
- SetRelstatement and proof · cited by 581
- SetRel.coreproof · cited by 19
Cited by7
Results whose statement or proof uses this declaration.
- Filter.RTendstoproof · cited by 5
- Filter.pmapproof · cited by 2
- Filter.rmap_rmapstatement · cited by 1
- rtendsto_nhdsproof · cited by 1
- Filter.mem_rmapstatement · cited by 0
- Filter.rmap_composestatement · cited by 0
- Filter.rmap_setsstatement · cited by 0