Step
*
1
1
of Lemma
rless-int
1. n : ℤ@i
2. m : ℤ@i
3. k : ℕ+@i
4. (2 * k * n) + 4 < 2 * k * m@i
⊢ n < m
BY
{ (SupposeNot THEN (Assert m ≤ n BY Auto) THEN Mul ⌜2 * k⌝ (-1)⋅ THEN Auto') }
Latex:
Latex:
1. n : \mBbbZ{}@i
2. m : \mBbbZ{}@i
3. k : \mBbbN{}\msupplus{}@i
4. (2 * k * n) + 4 < 2 * k * m@i
\mvdash{} n < m
By
Latex:
(SupposeNot THEN (Assert m \mleq{} n BY Auto) THEN Mul \mkleeneopen{}2 * k\mkleeneclose{} (-1)\mcdot{} THEN Auto')
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