I would expect the second line to say foo instead of command not found:
$ alias foo=\"echo bac\" ; foo;
-bash: foo: command not fou
The behaviour you're seeing is described in the Bash Reference Manual (emphasis mine):
The rules concerning the definition and use of aliases are somewhat confusing. Bash always reads at least one complete line of input before executing any of the commands on that line. Aliases are expanded when a command is read, not when it is executed. Therefore, an alias definition appearing on the same line as another command does not take effect until the next line of input is read. The commands following the alias definition on that line are not affected by the new alias.
Presumably the other shells also behave in this way.
To set and use alias in the same line in bash, you can use:
eval $'alias df5=df\ndf5 -h'
(credits: Hauke Laging's workaround + Kusalananda's workaround).
Explanation of the command:
eval and place a new line between the alias definition and its use."The
$'...'is a "C string", andbashwould expand the\nwithin it to a literal newline before passing it toeval.