Theorems · Theorem · general topology
Filter.tendsto_inf_right
∀ {α : Type u_1} {β : Type u_2} {f : α → β} {x₁ x₂ : Filter α} {y : Filter β},
Filter.Tendsto f x₂ y → Filter.Tendsto f (x₁ ⊓ x₂) y- Defined in
- Mathlib.Order.Filter.Tendsto
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- le_transproof · cited by 985
- inf_le_rightproof · cited by 238
- Filter.map_monoproof · cited by 63
Cited by4
Results whose statement or proof uses this declaration.
- Filter.Tendsto.infproof · cited by 32
- Filter.tendsto_sndproof · cited by 30
- UniformContinuousOn.compproof · cited by 2
- UniformContinuous.inf_dom_rightproof · cited by 1