Def implies == p:. q:. pq

is mentioned by

Thm* all Thm* (P:hnum  hbool. implies Thm* (P:hnum  hbool. (and(P(0),all(n:hnum. implies(P(n),P(suc(n))))) Thm* (P:hnum  hbool. ,all(n:hnum. P(n))))	[hinduction]
Thm* all(m:hnum. all(n:hnum. implies(equal(suc(m),suc(n)),equal(m,n))))	[hinv_suc]
Thm* all Thm* (m:hind. equal Thm* (m:hind. (is_num_rep(m) Thm* (m:hind. ,all Thm* (m:hind. ,(P:hind  hbool. implies Thm* (m:hind. ,(P:hind  hbool. (and Thm* (m:hind. ,(P:hind  hbool. ((P(zero_rep) Thm* (m:hind. ,(P:hind  hbool. (,all(n:hind. implies(P(n),P(suc_rep(n))))) Thm* (m:hind. ,(P:hind  hbool. ,P(m)))))	[his_num_rep_wd]

In prior sections: hol bool

Try larger context: HOLlib IF YOU CAN SEE THIS go to /sfa/Nuprl/Shared/Xindentation_hack_doc.html