Three (seemingly not so difficult) new conjectures

I’ve noticed the following three conjectures (I expect not very difficult) for finite binary relations X and Y between some sets and am going to solve them:

  1. X\sqcap^{\mathsf{FCD}} Y = X\sqcap Y;
  2. (\top \setminus X)\sqcap^{\mathsf{FCD}} (\top \setminus Y) = (\top \setminus X)\sqcap (\top \setminus Y);
  3. (\top \setminus X)\sqcap^{\mathsf{FCD}} Y = (\top \setminus X)\sqcap Y.


Leave a Reply