  We revisit a well-known "surjectivity onto quotient" type lemma of Kirchberg
on the central sequence algebra of a separable unital ${\rm C}^*$-algebra, and
use it to prove a "surjectivity onto quotient" result on approximately inner
automorphisms of a separable unital ${\rm C}^*$-algebra of stable rank one,
which we can partially upgrade also to the non-separable case.
