Let $\alpha ,\beta ,\delta$ be ordinals such that $\alpha < \beta$, prove that there is $\delta \leq \beta$ such that $\alpha+\delta = \beta$ ?
I know that if $\beta$ is cardinal then we can take $\delta=\beta$.
Let $\alpha ,\beta ,\delta$ be ordinals such that $\alpha < \beta$, prove that there is $\delta \leq \beta$ such that $\alpha+\delta = \beta$ ?
I know that if $\beta$ is cardinal then we can take $\delta=\beta$.
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