Theorems · Theorem · general topology

frontier_lt_subset_eq

∀ {α : Type u} {β : Type v} [inst : TopologicalSpace α] [inst_1 : LinearOrder α] [OrderClosedTopology α] {f g : β → α}
  [inst_3 : TopologicalSpace β], Continuous f → Continuous g → frontier {b | f b < g b} ⊆ {b | f b = g b}

Defined in

Mathlib.Topology.Order.OrderClosed

Cited by

2 results in Mathlib

Foundations

Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceLinearOrderOrderClosedTopologyTopologicalSpace