Theorems · Theorem · Lie groups

ContinuousWithinAt.add

∀ {M : Type u_1} [inst : TopologicalSpace M] [inst_1 : Add M] [ContinuousAdd M] {X : Type u_2}
  [inst_3 : TopologicalSpace X] {f g : X → M} {s : Set X} {x : X},
  ContinuousWithinAt f s x → ContinuousWithinAt g s x → ContinuousWithinAt (f + g) s x

Defined in

Mathlib.Topology.Algebra.Monoid.Defs

Cited by

8 results in Mathlib

Foundations

Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceAddContinuousAddTopologicalSpace