Step
*
1
1
1
1
1
1
1
of Lemma
make-strict-agrees
1. alpha : ℕ ⟶ ℕ
2. n : ℤ
3. 0 < n
4. strictly-increasing-seq(n;alpha)
5. i : ℕn
6. ¬i < 1
7. ∀i:ℕn - 1. ((make-strict(alpha) i) = (alpha i) ∈ ℤ)
⊢ alpha (i - 1) < alpha i
BY
{ (BackThruHyp' 4 THEN Auto) }
Latex:
Latex:
1. alpha : \mBbbN{} {}\mrightarrow{} \mBbbN{}
2. n : \mBbbZ{}
3. 0 < n
4. strictly-increasing-seq(n;alpha)
5. i : \mBbbN{}n
6. \mneg{}i < 1
7. \mforall{}i:\mBbbN{}n - 1. ((make-strict(alpha) i) = (alpha i))
\mvdash{} alpha (i - 1) < alpha i
By
Latex:
(BackThruHyp' 4 THEN Auto)
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