Definitions hol list 2 Sections HOLlib Doc
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Some definitions of interest.
everyDef every(p;l) == if null(l) then true else (p(head(l)))every(p;tl(l)) fi 
Def (recursive)
Thm* 'a:Type, p:('a), l:'a List. every(p;l 
bandDef pq == if p q else false fi
Thm* p,q:. (pq 
stypeDef S == {T:Type| x:T. True }
Thm* S  Type{2}

About:
listboolbfalsebtrueifthenelsesetapplyfunction
recursive_def_noticeuniversemembertrueallexists!abstraction
IF YOU CAN SEE THIS go to /sfa/Nuprl/Shared/Xindentation_hack_doc.html

Definitions hol list 2 Sections HOLlib Doc