Question: For any real number c, define as an integer d such that ?z with 0 ? z always existswe will simply take that as an

For any real number c, define For any real number c, define as an integer d such that as an integer d such that ?z with 0 ? z always existswe will simply take that as an axiom.

(a) (15 points) Prove that for any c, ?z with 0 ? z always existswe will simply take that as is unique

(b) (20 points) Prove that for any a, b, an axiom. (a) (15 points) Prove that for any c, is unique is equal to (b) (20 points) Prove that for any a, b, is equal to + + or + + 1. or image text in transcribed + image text in transcribed + 1.

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