Step
*
of Lemma
square_non_neg
∀x:ℤ. (0 ≤ (x * x))
BY
{ ((Auto THEN InstLemma `mul_preserves_le` [⌜0⌝;⌜|x|⌝;⌜|x|⌝]⋅) THEN Auto') }
1
1. x : ℤ
2. (|x| * 0) ≤ (|x| * |x|)
⊢ 0 ≤ (x * x)
Latex:
Latex:
\mforall{}x:\mBbbZ{}.  (0  \mleq{}  (x  *  x))
By
Latex:
((Auto  THEN  InstLemma  `mul\_preserves\_le`  [\mkleeneopen{}0\mkleeneclose{};\mkleeneopen{}|x|\mkleeneclose{};\mkleeneopen{}|x|\mkleeneclose{}]\mcdot{})  THEN  Auto')
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