hol bool Sections HOLlib Doc
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Def onto == f:'a'bonto('a;'b;f)

is mentioned by

Thm* exists(f:hind  hind. and(one_one(f),not(onto(f))))[hinfinity_ax]
Thm* 'a,'b:S.
Thm* all(f:'a  'b. equal(onto(f),all(y:'b. exists(x:'a. equal(y,f(x))))))
[honto_def]

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hol bool Sections HOLlib Doc