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Use a proof by cases to show that: min(a, min(b,c)) = min(min(a,b),c), whenever a, b, and...

Use a proof by cases to show that:

min(a, min(b,c)) = min(min(a,b),c), whenever a, b, and c are real numbers.

min(a,b) = a, if a ≤ b... min (a,b) = b otherwise.

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