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At: injection le 1 1 1

1. k : 
2. 0<k
3. m:. (f:((k-1)m). Inj((k-1); mf))  k-1m
4. m : 
5. f : km
6. Inj(kmf)
7. f(0)  m
  g:((k-1)(m-1)). i:(k-1). g(i) = if f(i)=m-1 f(k-1) else f(i) fi


By: InstConcl [i.if f(i)=m-1 f(k-1) else f(i) fi]


Generated subgoals:

1   (i.if f(i)=m-1 f(k-1) else f(i) fi)  (k-1)(m-1)
4 steps
2   i:(k-1). 
  (i.if f(i)=m-1 f(k-1) else f(i) fi)(i) = if f(i)=m-1 f(k-1) else f(i) fi

1 step
3 8. g : (k-1)(m-1)
  (i:(k-1). g(i) = if f(i)=m-1 f(k-1) else f(i) fi)  Type

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functionuniverseequalmemberimpliesallexists
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(37steps total) PrintForm Definitions Lemmas mb nat Sections MarkB generic Doc