hol bool Sections HOLlib Doc
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Def one_one == f:'a'bone_one('a;'b;f)

is mentioned by

Thm* exists(f:hind  hind. and(one_one(f),not(onto(f))))[hinfinity_ax]
Thm* 'b,'a:S.
Thm* all
Thm* (f:'a  'b. equal
Thm* (f:'a  'b(one_one(f)
Thm* (f:'a  'b,all
Thm* (f:'a  'b. ,(x1:'a. all
Thm* (f:'a  'b. ,(x1:'a(x2:'a. implies
Thm* (f:'a  'b. ,(x1:'a. (x2:'a(equal(f(x1),f(x2))
Thm* (f:'a  'b. ,(x1:'a. (x2:'a,equal(x1,x2))))))
[hone_one_def]

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hol bool Sections HOLlib Doc