Theorems · Theorem · general topology
Filter.rcomap_rcomap
∀ {α : Type u} {β : Type v} {γ : Type w} (r : SetRel α β) (s : SetRel β γ) (l : Filter γ),
Filter.rcomap r (Filter.rcomap s l) = Filter.rcomap (r.comp s) l- Defined in
- Mathlib.Order.Filter.Partial
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- Set.extproof · cited by 2,266
- SetRelstatement and proof · cited by 581
- Set.Subset.rflproof · cited by 255
- Set.Subset.transproof · cited by 218
- SetRel.compstatement · cited by 136
- SetRel.coreproof · cited by 19
- Filter.filter_eqproof · cited by 6
- Filter.rcomapstatement · cited by 4
- SetRel.core_monoproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Filter.rcomap_composeproof · cited by 0