Theorems · Theorem · general topology
Filter.comap_id
∀ {α : Type u_1} {f : Filter α}, Filter.comap id f = f- Defined in
- Mathlib.Order.Filter.Map
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 60 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.
- Setproof · cited by 53,352
- Filterstatement and proof · cited by 8,121
- Set.preimageproof · cited by 4,946
- le_antisymmproof · cited by 2,068
- Filter.comapstatement and proof · cited by 546
- Filter.mem_of_supersetproof · cited by 308
- Filter.preimage_mem_comapproof · cited by 23
Cited by10
Results whose statement or proof uses this declaration.
- Filter.comap_id'proof · cited by 3
- IsCompact.nhdsSet_inf_eq_biSupproof · cited by 3
- Filter.map_comap_inl_sup_map_comap_inrproof · cited by 1
- Function.LeftInverse.filter_comapproof · cited by 1
- IsUniformInducing.idproof · cited by 1
- uniformSpace_comap_idproof · cited by 1
- Ultrafilter.comap_idproof · cited by 0
- comap_uniformity_addOppositeproof · cited by 0
- comap_uniformity_mulOppositeproof · cited by 0
- Filter.comap_eq_of_inverseproof · cited by 0