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Proof step 35 from proof nodes-append (previous step)

# x = # lax, st[n] = mkblock(x, lax, m0), inv-flashsize(x, lax), n ∈ st, @(n, m4, m5) ∈ st, @(m4, m5) ∈ lax ⊦ @(n, m4, m5) = @(n, m, m2), (x + a ')[pos(@(m4, m5), lax)] = x[pos(@(m4, m5), lax)], dups(lax), @(m, m2) ∈ lax

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: list-del name: get-append-grt seq: ⊦ ¬ n < # x → (x + y)[n] = y[n - # x] subst: [n, y, x] → [pos(@(m4, m5), lax), a ', x] flags: <all paths>

Additional information

Used simplifier rules: ⊦ m < n ↔ ¬ n ≤ m; (ss)% ⊦ ladr ∈ lax → ¬ # lax ≤ pos(ladr, lax); (s)% ⊦ n < # x → (x + a ')[n] = x[n]; (s)%a: ⊦ (x + y) + z = x + y + z; from specification list Used terms: pos(@(m4, m5), lax), a ', x