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
bifDef bif(bbx.x(bx); by.y(by)) == if b x(*) else y(x.x) fi
Thm* A:Type, b:x:(bA), y:((b)A). bif(bbx.x(bx); by.y(by))  A
notDef A == A  False
Thm* A:Prop. (A Prop

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boolifthenelseassertlambdafunctionuniverseaxiom
memberpropimpliesfalsetrueall!abstraction
IF YOU CAN SEE THIS go to /sfa/Nuprl/Shared/Xindentation_hack_doc.html

Definitions hol Sections HOLlib Doc