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Proof step 18 from proof inv-valid-adrs (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 19:
⊦ inv-flashsize(x, lax) ↔ # x = # lax ∧ (∀ n. n < # x → lax[n].size = x[n].flashsize)
Proof step 20:
# 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

Rule argument

spec: ablock-store-inv name: inv-flashsize seq: ⊦ inv-flashsize(x, lax) ↔ # x = # lax ∧ (∀ n. n < # x → lax[n].size = x[n].flashsize) subst: [lax, x] → [lax1 + @(m0, 0) ' + lax0, x] flags: <all paths>

Additional information

Used terms: lax1 + @(m0, 0) ' + lax0, x