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Step * 2 3 of Lemma isOdd-isEven-add


1. n : ℤ
2. m : ℤ
3. ¬↑same-parity(n;0) supposing ↑isOdd(n)
4. ↑isOdd(n) supposing ¬↑same-parity(n;0)
5. ↑isEven(n)
⊢ ↑same-parity(n;0)
BY
{ (RepUR ``same-parity`` 0 THEN AutoSplit THEN RepUR ``isEven modulus`` 0 THEN Auto) }

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Latex:

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Latex:

1.  n  :  \mBbbZ{}
2.  m  :  \mBbbZ{}
3.  \mneg{}\muparrow{}same-parity(n;0)  supposing  \muparrow{}isOdd(n)
4.  \muparrow{}isOdd(n)  supposing  \mneg{}\muparrow{}same-parity(n;0)
5.  \muparrow{}isEven(n)
\mvdash{}  \muparrow{}same-parity(n;0)


By

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Latex:
(RepUR  ``same-parity``  0  THEN  AutoSplit  THEN  RepUR  ``isEven  modulus``  0  THEN  Auto)

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