Definitions bool 1 Sections StandardLIB Doc
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Some definitions of interest.
assertDef b == if b True else False fi
Thm* b:b  Prop
bnotDef b == if b false else true fi
Thm* b:b  
iffDef P  Q == (P  Q) & (P  Q)
Thm* A,B:Prop. (A  B Prop
notDef A == A  False
Thm* A:Prop. (A Prop
rev_impliesDef P  Q == Q  P
Thm* A,B:Prop. (A  B Prop

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

Definitions bool 1 Sections StandardLIB Doc