Theorems · Theorem · general topology
Filter.map_inf
∀ {α : Type u_1} {β : Type u_2} {f g : Filter α} {m : α → β},
Function.Injective m → Filter.map m (f ⊓ g) = Filter.map m f ⊓ Filter.map m g- Defined in
- Mathlib.Order.Filter.Map
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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_reflproof · cited by 2,061
- Filter.mapstatement and proof · cited by 819
- LE.le.antisymmproof · cited by 507
- Set.image_subset_iffproof · cited by 203
- Filter.image_mem_mapproof · cited by 39
- Set.image_interproof · cited by 34
- Filter.mem_inf_of_interproof · cited by 6
- Filter.map_inf_leproof · cited by 4
Cited by5
Results whose statement or proof uses this declaration.
- AccPt.mapproof · cited by 1
- hasFDerivWithinAt_comp_add_leftproof · cited by 1
- Filter.disjoint_mapproof · cited by 0
- Filter.map_inf'proof · cited by 0
- IsDiscrete.image_of_isOpenMapproof · cited by 0