Theorems · Theorem · general topology

Topology.IsUpper.isTopologicalBasis

∀ {α : Type u_1} [inst : Preorder α] [inst_1 : TopologicalSpace α] [Topology.IsUpper α],
  TopologicalSpace.IsTopologicalBasis (Topology.IsUpper.upperBasis α)

Defined in: Mathlib.Topology.Order.LowerUpperTopology
Cited by: 0 results in Mathlib
Foundations: Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Preorder TopologicalSpace Topology.IsUpper

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TopologicalSpacestatement and proof · cited by 24,529
Preorderstatement and proof · cited by 7,952
TopologicalSpace.IsTopologicalBasisstatement · cited by 126
Topology.IsUpperstatement and proof · cited by 18
Topology.IsLower.isTopologicalBasisproof · cited by 3
Topology.IsUpper.upperBasisstatement · cited by 1

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