Step
*
of Lemma
cont-induction-factorial
∀n:ℕ. (∃x:{ℤ| ((n)! = x ∈ ℤ)})
BY
{ (InstLemma `cont-induction-ext` [⌜λ2n.∃x:{ℤ| ((n)! = x ∈ ℤ)}⌝]⋅ THEN Auto) }
Latex:
Latex:
\mforall{}n:\mBbbN{}.  (\mexists{}x:\{\mBbbZ{}|  ((n)!  =  x)\})
By
Latex:
(InstLemma  `cont-induction-ext`  [\mkleeneopen{}\mlambda{}\msubtwo{}n.\mexists{}x:\{\mBbbZ{}|  ((n)!  =  x)\}\mkleeneclose{}]\mcdot{}  THEN  Auto)
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