Definitions hol Sections HOLlib Doc
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Some definitions of interest.
assertDef b == if b True else False fi
Thm* b:b  Prop
iffDef P  Q == (P  Q) & (P  Q)
Thm* A,B:Prop. (A  B Prop
prop_to_bool_2Def P == InjCase(lem_2(P) ; true; false)
Thm* P:Prop{2}. (P 

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

Definitions hol Sections HOLlib Doc