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Step * 1 1 1 1 of Lemma int_lower_well_founded


1. n : ℤ
2. WellFnd{i}(ℕ;x,y.x < y)
3. WellFnd{i}({...n};x,y.n - x < n - y)
⊢ WellFnd{i}({...n};x,y.x > y)
BY
{ (RWO "minus_mono_wrt_lt" (-1) THENW Try (Complete (Auto))) }

1
1. n : ℤ
2. WellFnd{i}(ℕ;x,y.x < y)
3. WellFnd{i}({...n};x,y.-(n - y) < -(n - x))
⊢ WellFnd{i}({...n};x,y.x > y)

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Latex:

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Latex:

1.  n  :  \mBbbZ{}
2.  WellFnd\{i\}(\mBbbN{};x,y.x  <  y)
3.  WellFnd\{i\}(\{...n\};x,y.n  -  x  <  n  -  y)
\mvdash{}  WellFnd\{i\}(\{...n\};x,y.x  >  y)


By

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Latex:
(RWO  "minus\_mono\_wrt\_lt"  (-1)  THENW  Try  (Complete  (Auto)))

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