inequality in commutative diagram using tikz

Question

I am trying to draw a commutative diagram using tikz-cd, where one of the arrow is an inequality. I know equality arrows are \ar[equal], does anyone know how to draw inequality arrows? Many thanks in advance.

Answer 1

Are you looking for something like this? (Orientation changed, thanks to @Sigur!)

\documentclass{article}
\usepackage{tikz-cd}
\usetikzlibrary{decorations.markings}
\tikzset{
inequality/.style={postaction={decorate,decoration={markings,
mark=at position 0.5 with {\draw (1.5pt,4pt) -- (-1.5pt,-4pt);}}}}}
\begin{document}
Equality:
\[
\begin{tikzcd}
X \ar[equal]{r} & Y 
\end{tikzcd}
\]

Inequality:
\[
\begin{tikzcd}
X \ar[equal,inequality]{r} & Y
\end{tikzcd}
\]
\end{document}