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. : 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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