Theorems · Theorem · general topology
Filter.isBounded_le_atBot
∀ {α : Type u_1} [inst : Preorder α] [Nonempty α], Filter.IsBounded (fun x1 x2 => x1 ≤ x2) Filter.atBot- Defined in
- Mathlib.Order.Filter.IsBounded
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 54 from the axioms · 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.
- Preorderstatement and proof · cited by 7,952
- Filter.atBotstatement · cited by 512
- Filter.IsBoundedstatement · cited by 45
- Filter.eventually_le_atBotproof · cited by 15
Cited by1
Results whose statement or proof uses this declaration.
- Filter.Tendsto.isBoundedUnder_le_atBotproof · cited by 2