Prove that when the partial ordering over the set of stable, Basic Statistics

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Prove that when the partial ordering over the set of stable

1. Show by example that if A and B are two matchings (not necessarily stable), then A ∨w B is not necessarily a matching.

2. Prove that when the partial ordering over the set of stable matchings is , the minimum of the stable matchings A and B is A ∨m B.

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