Theorems · Theorem · general topology

ContinuousAt.inf

∀ {L : Type u_1} {X : Type u_2} [inst : TopologicalSpace L] [inst_1 : TopologicalSpace X] [inst_2 : Min L]
  [ContinuousInf L] {f g : X → L} {x : X}, ContinuousAt f x → ContinuousAt g x → ContinuousAt (fun a => f a ⊓ g a) x

Defined in

Mathlib.Topology.Order.Lattice

Cited by

0 results in Mathlib

Foundations

Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceMinContinuousInf