match on the second occurrence

For example, I want to match on the second < of the following line

cnoremap <c-j>   <down>
cnoremap <c-k>   <up>
cnoremap <up>    <nop>
cnoremap <down>  <nop>
cnoremap <left>  <nop>
cnoremap <right> <nop>

Uses pattern <.*\zs<

• < - matches the first <
• .* - greedy matches everything after
• \zs - resets the start of the pattern matches (a vim specific pattern)
• < - matches the second <

Bonus:

sed -n 's/<.*\(<\)/\1/p' changes cnoremap <c-j> <down> to cnoremap <down>, something like delete the first <>

sed -n 's/\(<.*\)<.*>/\1/p' changes cnoremap <c-j> <down> to cnoremap <c-j>, something like delete the second <>