continuing to handle division.
man, it is such a pain to prove transitivity, who said it is obvious??
proved the freaking transitivity rule
this is getting a little lengthy due to lack of library knowleage.
finished a lemma on minor, still one lemma to go then I can tackle division
finished all the lemmas needed, and fix a missing pattern in fv.
need to stop now.
in the middle of handling division
there still a long way to go
add two lemmas
back to division again.
couldn't fix a bug caused by not handling well on incorporating local-formula type in local proof. So I have to change the name of variable from Y to X . Need to fix that after I am done with division
need totality proof for division
continue to diverge...
make it back to totality proof of div
finished totality of division
strugling in division.
yay! Nailed the division.
hurraayyy
Build a library just for proving an intuitive notion of division.