"if Y=X, then X=0 or Y=0 inverse proposition if X=0 or Y=0, then y = X.

There is no proposition if Y≠X, then X≠0, Y≠0.

Negative proposition if X≠0, Y≠0, then y ≠ x.

If XY=6, then X=3 and Y=2. If X=3 or Y=2, then XY=6.

There is no proposition if XY≠6, then X≠3 or Y≠2.

If the negative proposition is X≠3 or Y≠2, then XY≠6.

No proposition or proposition and no proposition.

The no proposition of a proposition is a yes or no proposition.

I hope it helps you.