Theorems · Theorem · general topology
Filter.tendstoIxxClass_principal
∀ {α : Type u_1} {s t : Set α} {Ixx : α → α → Set α},
Filter.TendstoIxxClass Ixx (Filter.principal s) (Filter.principal t) ↔ ∀ x ∈ s, ∀ y ∈ s, Ixx x y ⊆ t- Defined in
- Mathlib.Order.Filter.Interval
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Filter.Tendstoproof · cited by 3,814
- SProd.sprodproof · cited by 1,750
- Filter.principalstatement and proof · cited by 740
- Filter.smallSetsproof · cited by 89
- Filter.TendstoIxxClassstatement and proof · cited by 19
- Filter.prod_principal_principalproof · cited by 9
- Filter.TendstoIxxClass.tendsto_Ixxproof · cited by 8
- Filter.smallSets_principalproof · cited by 1
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