Remark WhoCites Definitions DiscreteMath Sections DiscrMathExt Doc
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Special purpose operation for shrinking the domain and range of an injection simultaneously. See REMARK.

Who Cites delete fenum value?
delete_fenum_valueDef  Replace value k by f(m) in f == Replace values x s.t. x=k by f(m) in f
Thm*  Inj({k:P(k) }; {k:Q(k) }; f)
Thm*  
Thm*  (m:{u:P(u) }, k:{v:Q(v) }.
Thm*  ((Replace value k by f(m) in f)
Thm*  ( {u:P(u) & u = m }{v:Q(v) & v = k })
Thm*  Inj((m+1); (k+1); f (Replace value k by f(m) in f mk
eq_intDef  i=j == if i=j true ; false fi
Thm*  i,j:. (i=j 
replace_fn_valuesDef  (Replace values x s.t. P(x) by y in f)(i) == if P(f(i)) y else f(i) fi
Thm*  A,X:Type, P:(A), y:Af:(XA).
Thm*  (Replace values x s.t. P(x) by y in f XA

Syntax:Replace value k by f(m) in f has structure: delete_fenum_value(kfm)

About:
boolbfalsebtrueifthenelseintnatural_numberadd
int_eqsetapplyfunctionuniverse
equalmemberpropimpliesandall!abstraction
IF YOU CAN SEE THIS go to /sfa/Nuprl/Shared/Xindentation_hack_doc.html

Remark WhoCites Definitions DiscreteMath Sections DiscrMathExt Doc