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Proof step 16 from proof inv-flashsize-append (previous step)

# x = # lax, lax[n] = @(m1, (x + a ')[n].flashsize), n < # lax ⊦ (x + a ')[n].flashsize = x[n].flashsize, 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] → [n, a ', x] flags: <all paths>

Additional information

Used simplifier rules: ⊦ m < n ↔ ¬ n ≤ m; (ss)%fle-01: ⊦ m ≤ n ∧ n < n0 → m < n0; (forward) from specification nat%fle: ⊦ m < n ∧ n ≤ n0 → m < n0; (forward) from specification nat% ⊦ ¬ n < n; (s)% ⊦ n < # x → (x + a ')[n] = x[n]; (s)%a: ⊦ (x + y) + z = x + y + z; from specification list Used terms: n, a ', x