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Step * 1 1 of Lemma minus-poly_wf


1. p : iMonomial() List
2. ∀i:ℕ||p||. ∀j:ℕi.  imonomial-less(p[j];p[i])
3. i : ℕ||map(λm.minus-monomial(m);p)||
4. j : ℕi
⊢ imonomial-less(minus-monomial(p[j]);minus-monomial(p[i]))
BY
{ (InstHyp [⌜i⌝;⌜j⌝] 2⋅ THENA Auto) }

1
1. p : iMonomial() List
2. ∀i:ℕ||p||. ∀j:ℕi.  imonomial-less(p[j];p[i])
3. i : ℕ||map(λm.minus-monomial(m);p)||
4. j : ℕi
5. imonomial-less(p[j];p[i])
⊢ imonomial-less(minus-monomial(p[j]);minus-monomial(p[i]))

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Latex:

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Latex:

1.  p  :  iMonomial()  List
2.  \mforall{}i:\mBbbN{}||p||.  \mforall{}j:\mBbbN{}i.    imonomial-less(p[j];p[i])
3.  i  :  \mBbbN{}||map(\mlambda{}m.minus-monomial(m);p)||
4.  j  :  \mBbbN{}i
\mvdash{}  imonomial-less(minus-monomial(p[j]);minus-monomial(p[i]))


By

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Latex:
(InstHyp  [\mkleeneopen{}i\mkleeneclose{};\mkleeneopen{}j\mkleeneclose{}]  2\mcdot{}  THENA  Auto)

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