Theorems · Theorem · general topology
Topology.lawson_le_lower
∀ {α : Type u_1} [inst : Preorder α], Topology.lawson α ≤ Topology.lower α- Defined in
- Mathlib.Topology.Order.LawsonTopology
- Cited by
- 1 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.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement · cited by 24,529
- Preorderstatement and proof · cited by 7,952
- inf_le_leftproof · cited by 286
- Topology.lawsonstatement · cited by 7
- Topology.lowerstatement · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- Topology.lawsonClosed_of_lowerClosedproof · cited by 0