Step
*
4
of Lemma
same-parity-implies
.....falsecase.....
1. n : ℤ
2. m : ℤ
3. ↑isOdd(m)
4. ¬↑isEven(n)
5. ¬↑isEven(n)
⊢ ¬↑isOdd(m + 1)
BY
{ (FLemma `odd-implies` [-3] THEN Auto THEN FLemma `even-implies` [-1] THEN Auto) }
Latex:
Latex:
.....falsecase.....
1. n : \mBbbZ{}
2. m : \mBbbZ{}
3. \muparrow{}isOdd(m)
4. \mneg{}\muparrow{}isEven(n)
5. \mneg{}\muparrow{}isEven(n)
\mvdash{} \mneg{}\muparrow{}isOdd(m + 1)
By
Latex:
(FLemma `odd-implies` [-3] THEN Auto THEN FLemma `even-implies` [-1] THEN Auto)
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