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Proof step 141 from proof infinite-append-butlast (previous step)

(σ from m0 + 1) to # y = ⌜y⌝ , ii(2 + n1) = 2 + m0 + # y, ii(0) = 0, ii(n1 + 1) = m0 + 1, lf(2 + n1) = (σ from m0 + 1)[# y] ' + x1, ⌜# y⌝ + ⌜m0⌝ + ⌜1⌝ < # σ, (σ from m0 + 1)[# y] ∈ lf(2 + n1), (finp(σ) ⊃ # σ = ⌜ii(n)⌝ ∧ (∀ m. n ≤ m → (m = 0 ⊃ lf(0);lf(m).rest) = [] ∧ ii(m) = ii(n));∀ n. ∃ m. ii(m) ≤ n ∧ n < ii(m + 1)), ∀ m, n. m ≤ n → ii(m) ≤ ii(n), ∀ n. n ≠ 0 → ii(n) ≠ 0 ⊦ σ[m0 + # y + 1] = (σ from m0 + 1)[# y], # σ < ⌜2⌝ + ⌜m0⌝ + ⌜# y⌝

User applied rule insert equation

And obtained the following new goals

Rule argument

pos: left 2 flags:

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