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Relevant to so-called permutation counting problems since these injections are the ways to order a distinct values chosen from a total of b values.

At: nsub inj factorial tail


  a,b:. (a inj b) ~ (b!a)

By: CompNatInd Concl


Generated subgoal:

1 1. a : 
2. a1:a1<a  (b:. (a1 inj b) ~ (b!a1))
3. b : 
  (a inj b) ~ (b!a)

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natural_numberall
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(17steps total) PrintForm Definitions Lemmas DiscreteMath Sections DiscrMathExt Doc