Step
*
of Lemma
l_disjoint_from-upto
∀[L:ℤ List]. ∀n1:ℤ. ∀[n2:ℤ]. uiff(∀x:ℤ. ((x ∈ L)
⇒ (x < n1 ∨ (x ≥ n2 )));l_disjoint(ℤ;L;[n1, n2)))
BY
{ ((UnivCD THENA Auto) THEN D 0 THEN Auto) }
1
1. L : ℤ List
2. n1 : ℤ@i
3. n2 : ℤ
4. ∀x:ℤ. ((x ∈ L)
⇒ (x < n1 ∨ (x ≥ n2 )))
⊢ l_disjoint(ℤ;L;[n1, n2))
2
1. [L] : ℤ List
2. n1 : ℤ@i
3. [n2] : ℤ
4. l_disjoint(ℤ;L;[n1, n2))
5. x : ℤ@i
6. (x ∈ L)@i
⊢ x < n1 ∨ (x ≥ n2 )
Latex:
Latex:
\mforall{}[L:\mBbbZ{} List]. \mforall{}n1:\mBbbZ{}. \mforall{}[n2:\mBbbZ{}]. uiff(\mforall{}x:\mBbbZ{}. ((x \mmember{} L) {}\mRightarrow{} (x < n1 \mvee{} (x \mgeq{} n2 )));l\_disjoint(\mBbbZ{};L;[n1, n2)))
By
Latex:
((UnivCD THENA Auto) THEN D 0 THEN Auto)
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