- #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 :grumpy:
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 :grumpy:
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?
=