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Proof step 22 from proof inv-valid-adrs (previous step)

# x = # lax1 + # lax0 + 1, st[m] = mkblock(x, lax1 + @(m0, 0) ' + lax0, m1), m ∈ st, @(m, m0, 0) ∈ as, as ⊆ dom nodes(st), # lax1 < # x → (lax1 + @(m0, 0) ' + lax0)[# lax1].size = x[# lax1].flashsize ⊦ # as = 0, as = ∅, dups(lax0), dups(lax1), dups(lax1 + lax0), @(m0, 0) ∈ lax0, @(m0, 0) ∈ lax1

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 23:
# x = # lax1 + # lax0 + 1, st[m] = mkblock(x, lax1 + @(m0, 0) ' + lax0, m1), @(m, m0, 0) ∈ as, m ∈ st, # x ≤ # lax1, as ⊆ dom nodes(st) ⊦ # as = 0, as = ∅, dups(lax1 + lax0), dups(lax1), dups(lax0), @(m0, 0) ∈ lax1, @(m0, 0) ∈ lax0

Rule argument

Additional information

Used simplifier rules: ⊦ m < n ↔ ¬ n ≤ m; (ss)% ⊦ a.flashsize ≠ 0; (s)% ⊦ @(m, m0).size = m0; (s)%a: ⊦ (lax + lax0) + lax1 = lax + lax0 + lax1; from specification list[laddress-list]% ⊦ (lax + ladr ' + lax0)[# lax] = ladr; (s)