Theorems · Theorem · general topology
isClosed_le_prod
∀ {α : Type u} [inst : TopologicalSpace α] [inst_1 : Preorder α] [t : OrderClosedTopology α], IsClosed {p | p.1 ≤ p.2}- Defined in
- Mathlib.Topology.Order.OrderClosed
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- Preorderstatement and proof · cited by 7,952
- Set.ofPredstatement · cited by 6,101
- IsClosedstatement · cited by 1,639
- OrderClosedTopologystatement and proof · cited by 445
- OrderClosedTopology.isClosed_le'proof · cited by 7
Cited by4
Results whose statement or proof uses this declaration.
- isClosed_leproof · cited by 32
- MeasureTheory.StronglyMeasurable.measurableSet_leproof · cited by 9
- intervalIntegral.sub_le_integral_of_hasDeriv_right_of_leproof · cited by 2
- isClosed_le_prod'proof · cited by 0