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5 (2) Let R, and Ry be ordered fields that satisfy the Least Upper Bound Property, and let p: R] - R2 be a function. Suppose that p(x + y) = p(x) +...

How can I prove this using additive inverse ? Prove that p(-x)=-p(x) for all x,y R1

Screen Shot 2019-05-19 at 6.44.38 AM.png

Screen Shot 2019-05-19 at 6.44.38 AM.png

2.7.5 (2) Let R, and Ry be ordered fields that satisfy the Least Upper Bound Property, and
let p: R] - R2 be a function. Suppose that p(x + y) = p(x) + p(y) for allx, ye R1.
(2). Prove that p(-x) = -p(x) for all x, y E R1.

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