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subset_._hott [2014/11/11 17:49] nikolaj |
subset_._hott [2014/11/11 17:49] nikolaj |
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| One can go further and work out a notion of power set $\mathcal{P}(A)$ with type constructor along the lines of | One can go further and work out a notion of power set $\mathcal{P}(A)$ with type constructor along the lines of | ||
| - | "${\large\frac{A\,:\,\mathrm{Set}\hspace{.5cm}x\,:\,A\,\vdash\,P(x)\,:\,\mathrm{Prop}}{\{x\,|\,P(x)\}\,:\,\mathcal{P}(A)}}$". | + | "${x\,:\,A\,\vdash\,P(x)\,:\,\mathrm{Prop}}{\{x\,|\,P(x)\}\,:\,\mathcal{P}(A)}}$". |
| ==== Discussion ==== | ==== Discussion ==== | ||
