Step
*
1
2
1
2
2
1
1
of Lemma
gamma-neighbourhood-prop2
1. beta : ℕ ⟶ ℕ
2. n0 : finite-nat-seq()
3. x : ℕ
4. ¬((beta x) = 0 ∈ ℤ)
5. x1 : ℕx + 1
6. ¬((beta x1) = 0 ∈ ℤ)
7. ∀y:ℕx1. ((beta y) = 0 ∈ ℤ)
⊢ ¬((beta x1) = 0 ∈ ℤ)
BY
{ Auto }
Latex:
Latex:
1. beta : \mBbbN{} {}\mrightarrow{} \mBbbN{}
2. n0 : finite-nat-seq()
3. x : \mBbbN{}
4. \mneg{}((beta x) = 0)
5. x1 : \mBbbN{}x + 1
6. \mneg{}((beta x1) = 0)
7. \mforall{}y:\mBbbN{}x1. ((beta y) = 0)
\mvdash{} \mneg{}((beta x1) = 0)
By
Latex:
Auto
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