Let P be a partial order on a finite set X. Prove that there exists a...

Let P be a partial order on a finite set X. Prove that there exists a linear order L on X such that P ⊆ L. (Hint: Use the proof of the Hasse Diagram Theorem.) Do not use induction

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Colby Messinger answered 5 months ago

If A is a set, write A={(x,x):x∈A}. Prove: If S is a strict partial order on...

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Let F be a finite field. Prove that there exists an integer n≥1, such that n.1_F...

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Let X be an uncountable set, let τf be the finite complement topology on X, and...

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Let X be the set of all subsets of R whose complement is a finite set...

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Let P be a partial order on a finite set X. Prove that there exists a...

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