\documentclass[a4paper]{article}
\usepackage{MnSymbol}
\usepackage{stmaryrd}
\usepackage{slashed}
\begin{document}
\newcommand{\nothaspatch}{{%
  \declareslashed{}{\sslash}{-0.04}{0}{\Sqsupset}\slashed{\Sqsupset}}}
\newcommand{\notinpatch}{{%
  \declareslashed{}{\sslash}{-0.04}{0}{\Sqsubset}\slashed{\Sqsubset}}}
\newcommand{\haspatch}{\Sqsupset}
\newcommand{\inpatch}{\Sqsubset}
sponge
$ A \sqsubseteq B $
$ A \not \sqsubseteq B $
$ A \nsqsubseteq B $
$ A \Sqsubset B $
$ A \Sqsupset B $
$ A \haspatch B $
$ A \nothaspatch B $
$ A \inpatch B $
$ A \notinpatch B $
\end{document}
