Prove the following axiomatically. You may assume that + and · on N have the commutative, associative, and distributive properties. The cancellation property of addition: For any natural numbers æ, y,...


Prove the following axiomatically. You may assume that + and · on N have the commutative, associative, and<br>distributive properties.<br>The cancellation property of addition: For any natural numbers æ, y, and z, x + z = y+ z implies x = y.<br>

Extracted text: Prove the following axiomatically. You may assume that + and · on N have the commutative, associative, and distributive properties. The cancellation property of addition: For any natural numbers æ, y, and z, x + z = y+ z implies x = y.

Jun 05, 2022
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