Step
*
1
1
1
1
of Lemma
shadow-inequalities_wf
1. n : ℕ
2. ineqs : {L:ℤ List| ||L|| = n ∈ ℤ} List
3. i : ℕn
4. L : ℤ List@i
5. i1 : ℕ@i
6. i1 < ||ineqs||
7. L = ineqs[i1] ∈ (ℤ List)
⊢ i < ||ineqs[i1]||
BY
{ TACTIC:(GenConclTerm ⌜ineqs[i1]⌝⋅ THENA Auto) }
1
1. n : ℕ
2. ineqs : {L:ℤ List| ||L|| = n ∈ ℤ} List
3. i : ℕn
4. L : ℤ List@i
5. i1 : ℕ@i
6. i1 < ||ineqs||
7. L = ineqs[i1] ∈ (ℤ List)
8. v : {L:ℤ List| ||L|| = n ∈ ℤ} @i
9. ineqs[i1] = v ∈ {L:ℤ List| ||L|| = n ∈ ℤ}
⊢ i < ||v||
Latex:
Latex:
1. n : \mBbbN{}
2. ineqs : \{L:\mBbbZ{} List| ||L|| = n\} List
3. i : \mBbbN{}n
4. L : \mBbbZ{} List@i
5. i1 : \mBbbN{}@i
6. i1 < ||ineqs||
7. L = ineqs[i1]
\mvdash{} i < ||ineqs[i1]||
By
Latex:
TACTIC:(GenConclTerm \mkleeneopen{}ineqs[i1]\mkleeneclose{}\mcdot{} THENA Auto)
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