Step
*
2
of Lemma
only_pm_one_divs_one
1. ∀b:ℕ. ((b | 1)
⇒ (b = 1 ∈ ℤ))
2. b : ℤ
3. b | 1
⊢ b = ± 1
BY
{ (Decide ⌜0 ≤ b⌝⋅ THENA Auto) }
1
1. ∀b:ℕ. ((b | 1)
⇒ (b = 1 ∈ ℤ))
2. b : ℤ
3. b | 1
4. 0 ≤ b
⊢ b = ± 1
2
1. ∀b:ℕ. ((b | 1)
⇒ (b = 1 ∈ ℤ))
2. b : ℤ
3. b | 1
4. ¬(0 ≤ b)
⊢ b = ± 1
Latex:
Latex:
1. \mforall{}b:\mBbbN{}. ((b | 1) {}\mRightarrow{} (b = 1))
2. b : \mBbbZ{}
3. b | 1
\mvdash{} b = \mpm{} 1
By
Latex:
(Decide \mkleeneopen{}0 \mleq{} b\mkleeneclose{}\mcdot{} THENA Auto)
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