Theorems · Theorem · general topology
Filter.comap_sup
∀ {α : Type u_1} {β : Type u_2} {g₁ g₂ : Filter β} {m : α → β},
Filter.comap m (g₁ ⊔ g₂) = Filter.comap m g₁ ⊔ Filter.comap m g₂- Defined in
- Mathlib.Order.Filter.Map
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 70 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.
- Filterstatement and proof · cited by 8,121
- Filter.comapstatement and proof · cited by 546
- iSup_bool_eqproof · cited by 12
- sup_eq_iSupproof · cited by 7
- Filter.comap_iSupproof · cited by 4
Cited by5
Results whose statement or proof uses this declaration.
- PhragmenLindelof.quadrant_Iproof · cited by 4
- Filter.sup_prodproof · cited by 2
- Filter.prod_supproof · cited by 2
- OnePoint.comap_coe_nhds_inftyproof · cited by 1
- Filter.map_sumElim_eqproof · cited by 0