\documentclass{article}
\usepackage{amsmath} % pkg required by EasyLatex
\usepackage{amsfonts} % pkg required by EasyLatex
\usepackage{amssymb} % pkg required by EasyLatex
\usepackage{psfrag} % pkg required by EasyLatex
\usepackage[dvips]{graphicx} % pkg required by EasyLatex

\begin{document}



\begin{align*}
a &\leq b
\\b &\leq c
\\a &\geq d
\\a &= e
\end{align*}


\begin{align*}
b &= c
\\b &= d
\end{align*}


\begin{align*}
a = a
\end{align*}


\begin{align*}
&&c(v_a v_b \ldots v_c, v_x v_y \ldots v_z)  + c(v_d v_e \ldots v_f, v_x v_y  \ldots v_z) &=  c(v_a v_b \ldots v_c v_d v_e \ldots v_f, v_x v_y  \ldots v_z)
\\ \textrm{if $m \geq n$,  } &&  c(v_1 v_2 \ldots v_{n-1} v_n) &\geq c(v_1 v_2 \ldots v_{n-1} v_m)
\\&& c(v_a v_b \ldots v_c, v_x v_y \ldots v_z) + c(v_d v_e \ldots v_f, v_q v_r  \ldots v_s) &\geq c(v_a v_b \ldots v_c, v_x v_y \ldots v_z)
\end{align*}



\begin{align*}
&&a + b &= c
\\ \textrm{if $m \geq n$,  } &&  d &\geq e
\\&& f &\geq g
\end{align*}



\end{document}