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Proof step 96 from proof infinite-append-prefixnextnli (previous step)

# lf(n0) = ii(n0), lf(0) = [], ii(0) = 0, #((σ from ii(n0)) to # nextnli0(lf(n0), n0)) = ⌜# nextnli0(lf(n0), n0)⌝ , n1 < ii(n0) + # nextnli0(lf(n0), n0), n1 < ii(n0), ∀ n2. n2 < # nextnli0(lf(n0), n0) → ((σ from ii(n0)) to # nextnli0(lf(n0), n0))[n2] = nextnli0(lf(n0), n0)[n2], ∀ n2. n2 < ii(n0) → lf(n0)[n2] = σ[n2], (finp(σ) ⊃ # σ = ⌜ii(n)⌝ ∧ (∀ m. n ≤ m → nextnli0(lf(m), m) = [] ∧ ii(m) = ii(n));∀ n. ∃ m. ii(m) ≤ n ∧ n < ii(m + 1)), ∀ m, n. m ≤ n → ii(m) ≤ ii(n) ⊦ ii(n0) = 0, ii(n0) + # nextnli0(lf(n0), n0) = 0, lf(n0)[n1] = σ[n1], # σ < ⌜ii(n0)⌝ + ⌜# nextnli0(lf(n0), n0)⌝

Proof step 96 from proof infinite-append-prefixnextnli (previous step)

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

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