EDB — 26P

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E26

[26P]Prerequisites:[26N],[01R].To assert the Theorem [24D] we have to prove [(3.185)], that is

\[ ∀ x,y ∈ ℕ , (x ⊆ Sy∧ x≠ Sy) \iff (x ⊆ y )\quad . \]

Prove that if \(X\) is a set where each element is transitive

\begin{equation} ∀ x,y ∈ X , (x ⊆ Sy∧ x≠ Sy) \iff (x ⊆ y ) \quad . \label{eq:caratt_ le_ ordinale} \end{equation}
27

Solution 1

[26Q]

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