Theorems · Theorem · Lie groups

ContinuousAt.fun_vadd

∀ {M : Type u_1} {X : Type u_2} {Y : Type u_3} [inst : TopologicalSpace M] [inst_1 : TopologicalSpace X]
  [inst_2 : TopologicalSpace Y] [inst_3 : VAdd M X] [ContinuousVAdd M X] {f : Y → M} {g : Y → X} {b : Y},
  ContinuousAt f b → ContinuousAt g b → ContinuousAt (fun i => f i +ᵥ g i) b

Defined in

Mathlib.Topology.Algebra.MulAction

Cited by

0 results in Mathlib

Foundations

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

Assumes

TopologicalSpaceTopologicalSpaceTopologicalSpaceVAddContinuousVAdd