BALTIC-WAY 2022 Problem 10

A natural number $a$ is said to be contained in the natural number $b$ if it is possible to obtain a by erasing some digits from $b$ (in their decimal representations). For example, $123$ is contained in $901523$ , but not contained in $3412$ . Does there exist an infinite set of natural numbers such that no number in the set is contained in any other number from the set?