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Proof step 20 from proof inv-valid-adrs (previous step)

# x = #(lax1 + @(m0, 0) ' + lax0), # x = # lax1 + # lax0 + 1, st[m] = mkblock(x, lax1 + @(m0, 0) ' + lax0, m1), m ∈ st, @(m, m0, 0) ∈ as, as ⊆ dom nodes(st), ∀ n. n < # x → (lax1 + @(m0, 0) ' + lax0)[n].size = x[n].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 21:
# x = # lax1 + # lax0 + 1, st[m] = mkblock(x, lax1 + @(m0, 0) ' + lax0, m1), @(m, m0, 0) ∈ as, m ∈ st, as ⊆ dom nodes(st), ∀ n. n < # x → (lax1 + @(m0, 0) ' + lax0)[n].size = x[n].flashsize ⊦ # as = 0, as = ∅, dups(lax1 + lax0), dups(lax1), dups(lax0), @(m0, 0) ∈ lax1, @(m0, 0) ∈ lax0

Rule argument

Additional information

Used simplifier rules: c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%a: ⊦ (lax + lax0) + lax1 = lax + lax0 + lax1; from specification list[laddress-list]% ⊦ m +1 = m + 1; (s)% ⊦ #(ladr ' + lax) = (# lax)+1; (s)% ⊦ #(lax + lax0) = # lax + # lax0; (s)