Theorems · Theorem · general topology
Filter.Tendsto.of_tendsto_comp
∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} {f : α → β} {g : β → γ} {a : Filter α} {b : Filter β} {c : Filter γ},
Filter.Tendsto (g ∘ f) a c → Filter.comap g c ≤ b → Filter.Tendsto f a b- Defined in
- Mathlib.Order.Filter.Tendsto
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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.Tendstostatement and proof · cited by 3,814
- Filter.comapstatement and proof · cited by 546
- Filter.comap_comapproof · cited by 69
- Filter.tendsto_iff_comapproof · cited by 19
- Filter.comap_monoproof · cited by 16
Cited by4
Results whose statement or proof uses this declaration.
- Filter.tendsto_cocompact_mul_leftproof · cited by 1
- Filter.tendsto_cocompact_mul_rightproof · cited by 1
- ModularGroup.tendsto_lcRow0proof · cited by 1
- UniformContinuousOn.comp_tendstoUniformlyproof · cited by 1