Question: To prove corollary 2.4.2, let S c E and s* = sup S. 1. For every x S there exists some zx p(s*)

To prove corollary 2.4.2, let S c E and s* = sup S.
1. For every x ∊ S there exists some zx ∊ p(s*) such that zx ≿ x.
2. Let z* = sup zx. Then
a. z* ≾ s*
b. z* ∊

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