Abstract
In this paper, we prove three fundamental theorems of triangle constructive
trices. The representative of non-distributive trice is a triangle constructive trice.
The first theorem is that two elements trice which composes the distributive trice
doesn’t exist in a triangle constructive trice at all. The second is a theorem to compose
the order reversing operation on triangle constructive trices. The third is a theorem
concerning homomorphism of triangle constructive trices. The homomorphism of
two operations leads the homomorphism of another operation in triangle constructive
trices.
