Theorems · Theorem · general topology
Filter.Tendsto.inf
∀ {α : Type u_1} {β : Type u_2} {f : α → β} {x₁ x₂ : Filter α} {y₁ y₂ : Filter β},
Filter.Tendsto f x₁ y₁ → Filter.Tendsto f x₂ y₂ → Filter.Tendsto f (x₁ ⊓ x₂) (y₁ ⊓ y₂)- Defined in
- Mathlib.Order.Filter.Tendsto
- Cited by
- 32 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.
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
- Filter.tendsto_infproof · cited by 23
- Filter.tendsto_inf_leftproof · cited by 10
- Filter.tendsto_inf_rightproof · cited by 4
Cited by32
Results whose statement or proof uses this declaration.
- IsCompact.image_of_continuousOnproof · cited by 24
- ClusterPt.mapproof · cited by 4
- PhragmenLindelof.quadrant_Iproof · cited by 4
- PhragmenLindelof.quadrant_IVproof · cited by 2
- PhragmenLindelof.vertical_stripproof · cited by 2
- Real.tendsto_abs_tan_of_cos_eq_zeroproof · cited by 2
- tendsto_neg_nhdsLTproof · cited by 2
- tendsto_abs_nhdsNE_zeroproof · cited by 2
- tangentConeAt_mono_nhdsproof · cited by 2
- tendsto_norm_nhdsNE_zeroproof · cited by 2
- PhragmenLindelof.quadrant_IIproof · cited by 2
- PhragmenLindelof.quadrant_IIIproof · cited by 1