- #1
rad0786
- 188
- 0
So does everybody know the Axioms of Addition and Multiplication?
They are too long to type, but they are listed:
A1, A2, A3, A4, A5, M1, M2, M3, M4, M5 and the distributive law, DL.
anyways, I want to prove:
1. (-x)y = -(xy) and 2. (-x)(-y) = (xy) using ONLY the axioms of additon and multiplication.
Can somebody please help start me off, I've spent an hour on this and am getting now where
1. seems quite elementry to me.
(-x)y = (-1)(x)y by M4
(-x)y = (-1)(xy) by M3
(-x)y = -(xy) by M3 again
how does that sound?
=
They are too long to type, but they are listed:
A1, A2, A3, A4, A5, M1, M2, M3, M4, M5 and the distributive law, DL.
anyways, I want to prove:
1. (-x)y = -(xy) and 2. (-x)(-y) = (xy) using ONLY the axioms of additon and multiplication.
Can somebody please help start me off, I've spent an hour on this and am getting now where
1. seems quite elementry to me.
(-x)y = (-1)(x)y by M4
(-x)y = (-1)(xy) by M3
(-x)y = -(xy) by M3 again
how does that sound?
=