\documentclass{article}

\usepackage{agda}

\begin{document}

\begin{code}
postulate
  A  B
      C : Set
\end{code}

\begin{code}
postulate
  D  E

      F : Set
\end{code}

\begin{code}
postulate
  G  H  : Set
  I
      J : Set
\end{code}

\begin{AgdaMultiCode}
\begin{code}
postulate
  K  L
\end{code}
\begin{code}
      M : Set
\end{code}
\end{AgdaMultiCode}

\begin{code}
record R : Set₁ where
  field N :
            Set
\end{code}

% There is (and should be) trailing whitespace at the end of some
% lines below.

\begin{AgdaAlign}
text \begin{code}        
module _ where
\end{code} more text
    also text  \begin{code}
    postulate O : Set  
  \end{code} text again

 text          \begin{code}            
    postulate o : O    
  \end{code}   text             
\end{AgdaAlign}

\begin{code}
postulate
 P : Set
\end{code}

\begin{code}
module _ where
 postulate
  Q : Set
\end{code}

\begin{code}
module _ where
         postulate
          S : Set
\end{code}

\begin{AgdaMultiCode}
\begin{code}
module _ where
\end{code}
\begin{code}
  postulate T : Set
            U : Set
\end{code}
\end{AgdaMultiCode}

\begin{AgdaSuppressSpace}
\begin{code}
module _ where
\end{code}
\begin{code}
  postulate V : Set
            W : Set
\end{code}
\end{AgdaSuppressSpace}

\begin{code}
X : Set₁
X =
  Set
\end{code}

\begin{code}
Y : Set₁
Y =       Set

Zzzzzzzzz : Set  Set
Zzzzzzzzz X
          = X
\end{code}

\end{document}