Step * of Lemma factorial-greater-qexp

x:{q:ℚ0 ≤ q} . ∀p:ℚ.  ∃n:ℕx ↑ n < (n)!
BY
(Auto
   THEN With ⌜qexpfact(0;x;p;1)⌝ (D 0)⋅
   THEN Auto
   THEN InstLemma `qexpfact-property` [⌜0⌝;⌜x⌝;⌜p⌝;⌜1⌝]⋅
   THEN Auto) }


Latex:


Latex:
\mforall{}x:\{q:\mBbbQ{}|  0  \mleq{}  q\}  .  \mforall{}p:\mBbbQ{}.    \mexists{}n:\mBbbN{}.  p  *  x  \muparrow{}  n  <  (n)!


By


Latex:
(Auto
  THEN  With  \mkleeneopen{}qexpfact(0;x;p;1)\mkleeneclose{}  (D  0)\mcdot{}
  THEN  Auto
  THEN  InstLemma  `qexpfact-property`  [\mkleeneopen{}0\mkleeneclose{};\mkleeneopen{}x\mkleeneclose{};\mkleeneopen{}p\mkleeneclose{};\mkleeneopen{}1\mkleeneclose{}]\mcdot{}
  THEN  Auto)




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