get last false until the end of file
cat <<EOF | sed -n 'H; /false/h; ${g;p;}'
1 true
2 false
3 true
4 false
5 true
6 true
EOF
get last false until the end of file
cat <<EOF | sed -n 'H; /false/h; ${g;p;}'
1 true
2 false
3 true
4 false
5 true
6 true
EOF