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Computing the inverse of a finite function

At: nsub surj least preimage total


  b,a:, f:(a onto b), y:b. (least x:. f(x)=y)  a

By: Analyze
THEN
Use:[B:= b | e(i,j):= i=j]
Inst: 
Thm*  e:(BB). 
Thm*  IsEqFun(B;e)  (a:, f:(a onto B), y:B. (least x:. (f(x)) e y)  a)
THEN
BackThru: Thm*  IsEqFun(b;i,j. i=j)


Generated subgoals:

None

About:
boolnatural_numberapplyfunctionuniversememberimpliesall
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PrintForm Definitions Lemmas DiscreteMath Sections DiscrMathExt Doc