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## Homework Statement

Using only the field axioms, prove that if x,y ε R and x = y then wx = wy.

## Homework Equations

http://mathworld.wolfram.com/FieldAxioms.html

## The Attempt at a Solution

The solution to this can be solved within 2 lines or so using the field axiom inverses/multiplications ,however, this is one of a couple of assignment questions and it seems a little too easy? Am I thinking about this question correctly?