Step * 2 of Lemma minus-le


1. n : ℤ
2. x : ℤ
3. 0 ≤ (x + n)
⊢ (-n) ≤ x
BY
{ (InstLemma `add_functionality_wrt_le` [⌜0⌝;⌜-n⌝;⌜x + n⌝;⌜-n⌝]⋅ THEN Auto) }


Latex:


Latex:

1.  n  :  \mBbbZ{}
2.  x  :  \mBbbZ{}
3.  0  \mleq{}  (x  +  n)
\mvdash{}  (-n)  \mleq{}  x


By


Latex:
(InstLemma  `add\_functionality\_wrt\_le`  [\mkleeneopen{}0\mkleeneclose{};\mkleeneopen{}-n\mkleeneclose{};\mkleeneopen{}x  +  n\mkleeneclose{};\mkleeneopen{}-n\mkleeneclose{}]\mcdot{}  THEN  Auto)




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