Step
*
of Lemma
isEven-add
∀[n,m:ℤ].  uiff(↑isEven(n + m);↑same-parity(n;m))
BY
{ (RepeatFor 2 ((D 0 THENA Auto)) THEN InstLemma `isOdd-isEven-add` [⌜n⌝;⌜m⌝]⋅ THEN Auto) }
Latex:
Latex:
\mforall{}[n,m:\mBbbZ{}].    uiff(\muparrow{}isEven(n  +  m);\muparrow{}same-parity(n;m))
By
Latex:
(RepeatFor  2  ((D  0  THENA  Auto))  THEN  InstLemma  `isOdd-isEven-add`  [\mkleeneopen{}n\mkleeneclose{};\mkleeneopen{}m\mkleeneclose{}]\mcdot{}  THEN  Auto)
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