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Update putnam_2013_b5.thy
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jxin31415 authored Jul 15, 2024
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Expand Up @@ -10,5 +10,6 @@ theorem putnam_2013_b5:
and kinX: "k \<in> {1..n}"
defines "fiter \<equiv> \<lambda>f. (f ` {1..n} \<subseteq> {1..n} \<and> (\<forall>x::nat\<in>{1..n}. \<exists>j::nat. (f^^j) x \<le> k)) \<and> (\<forall>x::nat > n. f x = 0) \<and> f 0 = 0"
shows "card {f::nat\<Rightarrow>nat. fiter f} = k * n^(n-1)"
sorry

end

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