WhoCites Definitions DiscreteMath Sections DiscrMathExt Doc
IF YOU CAN SEE THIS go to /sfa/Nuprl/Shared/Xindentation_hack_doc.html
(there is an infinite (omega) sequence of distinct members of A)

Who Cites productively infinite?
productively_infiniteDef  Infinite(A) == ( inj A)
Thm*  A:Type. Infinite(A Prop
natDef   == {i:| 0i }
Thm*    Type
injection_typeDef  A inj B == {f:(AB)| Inj(ABf) }
Thm*  A,B:Type. A inj B  Type
leDef  AB == B<A
Thm*  i,j:. (ij Prop
injectDef  Inj(ABf) == a1,a2:Af(a1) = f(a2 B  a1 = a2
Thm*  A,B:Type, f:(AB). Inj(ABf Prop
notDef  A == A  False
Thm*  A:Prop. (A Prop

Syntax:Infinite(A) has structure: productively_infinite(A)

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

WhoCites Definitions DiscreteMath Sections DiscrMathExt Doc