Define the following predicate p

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Reference no: EM13862128

Define the following predicate P(x,y,z) for naturals x and y and positive naturals z.

If x < z, P(x,y,z) is true iffiff x = y.

If y > = z, then P(x,y,z) is false.

If y < z and x >= z, then P(x,y,z) is true iff P(x - z,y,z) is true.

Prove that if y < z, then P(x,y,z) is true iff (∃r:x=rz+y) where r is n∈N

Reference no: EM13862128

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