Theorems · Theorem · general topology

Continuous.max

∀ {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 → Continuous fun b => max (f b) (g b)

Defined in

Mathlib.Topology.Order.OrderClosed

Cited by

7 results in Mathlib

Foundations

Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceLinearOrderOrderClosedTopologyTopologicalSpace