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authorGregor Kleen <gkleen@yggdrasil.li>2016-02-02 22:57:15 +0100
committerGregor Kleen <gkleen@yggdrasil.li>2016-02-02 22:57:15 +0100
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comment on 1.2.1
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@@ -45,5 +45,7 @@ Let $\ca{Pno}$ be the category of objects $(A, \alpha, a)$ where $A$ is a set, $
45 * $f(0) = a = g(0)$ 45 * $f(0) = a = g(0)$
46 * Given $n \in \N$: 46 * Given $n \in \N$:
47 $$(f \circ \mathrm{succ})(n) = (\alpha \circ f)(n) \overset{\text{ind.}}{=} (\alpha \circ g)(n) = (g \circ \mathrm{succ})(n)$$ 47 $$(f \circ \mathrm{succ})(n) = (\alpha \circ f)(n) \overset{\text{ind.}}{=} (\alpha \circ g)(n) = (g \circ \mathrm{succ})(n)$$
48
49 The morphism maps $\N$ to the transitive closure of $a$ under $\alpha$.
48 </div> 50 </div>
49</div> 51</div>