Tikzcd error - narrowed down to one particular cell

Question

I tried to run below but I keep getting below error. Let me know if you can spot anything. The arrows coming out of U \times F seem to be the issue, since without any of those arrows, the diagram runs fine but putting in any of them with or without their labels runs me into errors.

\documentclass{article}
\usepackage{tikz}
\usetikzlibrary{cd}

\begin{document}
    
    \begin{center}
        
        \begin{tikzcd}[column sep=scriptsize]
            
            E' \arrow[r, "\tilde f"] \arrow[d, "\pi'"] & E \arrow[d, "\pi"] && U \times F \arrow[l, "\phi^{-1}"] \arrow[dl, "\pr"] \arrow[r, "\pr_2"]  &&&F \\
            
            X' \arrow[r, "f"] & X && {} &&& {}
            
        \end{tikzcd}
        
    \end{center}
    
\end{document}

Overfull \hbox (12.25192pt too wide) in paragraph at lines 37--38
[]\OT1/cmr/m/n/10 We see im-me-di-ately that each col-umn is or-thog-o-nal to $
(\OML/cmm/m/it/10 x[]; []  ; x[]; []\OT1/cmr/m/n/10 )$
[2] [3] [4]

! Package pgf Error: No shape named `tikz@f@2-1-3' is known.

See the pgf package documentation for explanation.
Type  H <return>  for immediate help
l.70 I think the culprit is a tikzcd arrow in cell 1-4.
\errmessage ...currentrow -\tikzcd@currentcolumn }
                                                  
l.72 \end{tikzcd}

?

Answer 1

\documentclass[tikz, border=1cm]{standalone}
\usetikzlibrary{cd}
\begin{document}
\begin{tikzcd}[nodes in empty cells]
E' \arrow[r, "\tilde f"] \arrow[d, "\pi'"] & E \arrow[d, "\pi"] & & U \times F \arrow[l, "\phi^{-1}"] \arrow[dl, "pr"] \arrow[r, "pr_2"]  & & & F\\            
X' \arrow[r, "f"] & X & & & & &              
\end{tikzcd}    
\end{document}

Answer 2

You're jumping too much.

\documentclass{article}
\usepackage{tikz}
\usetikzlibrary{cd}

\newcommand{\pr}{\mathrm{pr}}

\begin{document}

\[
\begin{tikzcd}[column sep=large]
  E' \arrow[r, "\tilde f"] \arrow[d, "\pi'"] &
  E \arrow[d, "\pi"] &
  U \times F \arrow[l, "\phi^{-1}"'] \arrow[dl, "\pr"] \arrow[r, "\pr_2"]  &
  F \\
  X' \arrow[r, "f"] & X
\end{tikzcd}
\]

\end{document}

For the middle top arrow, I swapped the position by adding ' after the label. The column sep seemed too small, you may also want to increase the row sep.