Theorems · Theorem · general topology
Filter.Tendsto.comp
∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} {f : α → β} {g : β → γ} {x : Filter α} {y : Filter β} {z : Filter γ},
Filter.Tendsto g y z → Filter.Tendsto f x y → Filter.Tendsto (g ∘ f) x z- Defined in
- Mathlib.Order.Filter.Tendsto
- Cited by
- 560 results in Mathlib
- Foundations
- Depth 14 from the axioms, rests on 74 definitions · uses propext, 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.
- Setproof · cited by 53,352
- Filterstatement and proof · cited by 8,121
- Set.preimageproof · cited by 4,946
- Filter.Tendstostatement and proof · cited by 3,814
Cited by560
Results whose statement or proof uses this declaration.
- Filter.Tendsto.addproof · cited by 102
- Filter.Tendsto.mulproof · cited by 74
- Filter.Tendsto.subproof · cited by 68
- UniformContinuous.compproof · cited by 60
- ContinuousAt.compproof · cited by 56
- Filter.tendsto_comap_iffproof · cited by 55
- Filter.Tendsto.const_mulproof · cited by 55
- Filter.Tendsto.normproof · cited by 44
- HasSum.mapproof · cited by 32
- Filter.Tendsto.negproof · cited by 30
- HasSum.tendsto_sum_natproof · cited by 23
- Filter.Tendsto.mul_constproof · cited by 23
Showing the 200 most cited of 560.