Theorems · Theorem · general topology
Filter.eventually_comap
∀ {α : Type u_1} {β : Type u_2} {f : α → β} {l : Filter β} {p : α → Prop},
(∀ᶠ (a : α) in Filter.comap f l, p a) ↔ ∀ᶠ (b : β) in l, ∀ (a : α), f a = b → p a- Defined in
- Mathlib.Order.Filter.Map
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 61 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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.Eventuallystatement · cited by 3,134
- Filter.comapstatement · cited by 546
- Filter.mem_comap'proof · cited by 4
Cited by8
Results whose statement or proof uses this declaration.
- exists_fun_of_mem_tangentConeAtproof · cited by 9
- qExpansion_coeff_isBigO_of_norm_isBigOproof · cited by 2
- Valued.continuous_extensionproof · cited by 2
- IsDenseInducing.extend_unique_atproof · cited by 2
- UniformCauchySeqOnFilter.compproof · cited by 1
- IsClosedMap.eventually_nhds_fiberproof · cited by 1
- ModularGroup.exists_bound_fundamental_domain_of_isBigOproof · cited by 1
- LaurentSeries.tendsto_valuationproof · cited by 0