Theorems · Theorem · general topology

ContinuousMap.sup_apply

∀ {α : Type u_1} {β : Type u_2} [inst : TopologicalSpace α] [inst_1 : TopologicalSpace β] [inst_2 : SemilatticeSup β]
  [inst_3 : ContinuousSup β] (f g : C(α, β)) (a : α), (f ⊔ g) a = f a ⊔ g a

Defined in

Mathlib.Topology.ContinuousMap.Ordered

Cited by

0 results in Mathlib

Foundations

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

Assumes

TopologicalSpaceTopologicalSpaceSemilatticeSupContinuousSup