Define well-ordered set with example... | Filo
Define well-ordered set with example... | Filo
8 months ago
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SOLVED:Prove: Two different initial segments of a well-ordered set cannot be similar. Let s(a) and s(b) be two different initial segments, that is, a ≠b. Either a<b or b<a; say a<b. Then s(a) is an initial segment of the well-ordered set s(b). Hence, by Theorem 8.9. s(b) is not similar to s(a).
SOLVED:Prove: Two different initial segments of a well-ordered set ca…
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