Theorems · Theorem · general topology
Filter.tendsto_inf_left
∀ {α : Type u_1} {β : Type u_2} {f : α → β} {x₁ x₂ : Filter α} {y : Filter β},
Filter.Tendsto f x₁ y → Filter.Tendsto f (x₁ ⊓ x₂) y- Defined in
- Mathlib.Order.Filter.Tendsto
- Cited by
- 10 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_leftproof · cited by 286
- Filter.map_monoproof · cited by 63
Cited by10
Results whose statement or proof uses this declaration.
- Filter.Tendsto.infproof · cited by 32
- Filter.tendsto_fstproof · cited by 26
- UniformContinuous.uniformContinuousOnproof · cited by 3
- disjoint_interior_extremePointsproof · cited by 2
- hasDerivAt_of_hasDerivAt_of_neproof · cited by 2
- eventually_norm_symmL_trivializationAt_comp_self_ltproof · cited by 1
- eventually_norm_symmL_trivializationAt_self_comp_ltproof · cited by 1
- UniformContinuous.inf_dom_leftproof · cited by 1
- ContinuousMap.AlgHom.closure_ker_interproof · cited by 1
- Filter.Tendsto.if'proof · cited by 1