Theorems · Theorem · general topology
Filter.map_const
∀ {α : Type u_1} {β : Type u_2} {f : Filter α} [f.NeBot] {c : β}, Filter.map (fun x => c) f = pure c- Defined in
- Mathlib.Order.Filter.Map
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 55 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Filter.NeBot
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
- Filter.NeBotstatement and proof · cited by 853
- Filter.mapstatement · cited by 819
- Filter.extproof · cited by 60
- Set.preimage_const_of_memproof · cited by 14
- Set.preimage_const_of_notMemproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- tendsto_const_nhds_iffproof · cited by 1