Theorems · Theorem · general topology

sSupHom.continuous

∀ {α : Type u_1} {β : Type u_2} [inst : CompleteLattice α] [inst_1 : CompleteLattice β] [inst_2 : TopologicalSpace α]
  [Topology.IsUpper α] [inst_4 : TopologicalSpace β] [Topology.IsUpper β] (f : sSupHom α β), Continuous ⇑f

Defined in

Mathlib.Topology.Order.LowerUpperTopology

Cited by

0 results in Mathlib

Foundations

Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CompleteLatticeCompleteLatticeTopologicalSpaceTopology.IsUpperTopologicalSpaceTopology.IsUpper