Step
*
of Lemma
div_bounds_4
∀[a:{...0}]. ∀[n:{...-1}].  (0 ≤ (a ÷ n))
BY
{ ((Auto THEN (InstLemma `div_rem_sum` [⌜a⌝;⌜n⌝]⋅ THENA Auto))
   THEN Auto
   THEN (InstLemma `rem_bounds_3` [⌜a⌝;⌜n⌝]⋅ THENA Auto)
   THEN SupposeNot) }
Latex:
Latex:
\mforall{}[a:\{...0\}].  \mforall{}[n:\{...-1\}].    (0  \mleq{}  (a  \mdiv{}  n))
By
Latex:
((Auto  THEN  (InstLemma  `div\_rem\_sum`  [\mkleeneopen{}a\mkleeneclose{};\mkleeneopen{}n\mkleeneclose{}]\mcdot{}  THENA  Auto))
  THEN  Auto
  THEN  (InstLemma  `rem\_bounds\_3`  [\mkleeneopen{}a\mkleeneclose{};\mkleeneopen{}n\mkleeneclose{}]\mcdot{}  THENA  Auto)
  THEN  SupposeNot)
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