Theorems · Theorem · general topology
Topology.lawson_le_scott
∀ {α : Type u_1} [inst : Preorder α], Topology.lawson α ≤ Topology.scott α Set.univ- Defined in
- Mathlib.Topology.Order.LawsonTopology
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Preorder
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- TopologicalSpacestatement · cited by 24,529
- Preorderstatement and proof · cited by 7,952
- Set.univstatement · cited by 3,945
- inf_le_rightproof · cited by 238
- Topology.scottstatement · cited by 9
- Topology.lawsonstatement · cited by 7
Cited by2
Results whose statement or proof uses this declaration.
- Topology.lawsonOpen_iff_scottOpen_of_isUpperSetproof · cited by 1
- Topology.lawsonClosed_of_scottClosedproof · cited by 0