Turnstile arrow in tikz-cd

You were quite close, I changed maps to to tail, not a huge difference in the result, but in my case you're just saying "I want the tail" rather than "I want this arrow". We will be keeping the no head.

The major change, or rather addition, I did was to add a style to tikzcdset.

Output

Code

\documentclass[margin=10pt]{standalone}
\usepackage{tikz-cd} % no need to load tikz, since tikz-cd already loads it

% \usetikzlibrary{arrows.meta} % you can uncomment this if you want more arrow types

\tikzcdset{
    arrow style=tikz,
    diagrams={>={|[scale=2]}}
}

\begin{document}
  \begin{tikzcd}
    A \arrow[r, tail, no head,"F"] & B
  \end{tikzcd}
\end{document}