Theorems · Theorem · Lie groups

ContinuousWithinAt.smul

∀ {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 : SMul M X] [ContinuousSMul M X] {f : Y → M} {g : Y → X} {b : Y} {s : Set Y},
  ContinuousWithinAt f s b → ContinuousWithinAt g s b → ContinuousWithinAt (f • g) s b

Defined in

Mathlib.Topology.Algebra.MulAction

Cited by

7 results in Mathlib

Foundations

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

Assumes

TopologicalSpaceTopologicalSpaceTopologicalSpaceSMulContinuousSMul