Step
*
2
1
1
1
of Lemma
permutation-sign-id
.....equality.....
1. n : ℤ
2. 0 < n
3. permutation-sign(n - 1;λx.x) ~ 1
4. j : ℕn
⊢ Π(sign(j - i) | i < j) = Π(1 | i < j) ∈ ℤ
BY
{ (EqCD THEN Auto) }
1
.....subterm..... T:t
2:n
1. n : ℤ
2. 0 < n
3. permutation-sign(n - 1;λx.x) ~ 1
4. j : ℕn
5. i : ℕj
⊢ sign(j - i) = 1 ∈ ℤ
Latex:
Latex:
.....equality.....
1. n : \mBbbZ{}
2. 0 < n
3. permutation-sign(n - 1;\mlambda{}x.x) \msim{} 1
4. j : \mBbbN{}n
\mvdash{} \mPi{}(sign(j - i) | i < j) = \mPi{}(1 | i < j)
By
Latex:
(EqCD THEN Auto)
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