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Proof step 12 from proof inv-valid-adrs (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 13:
⊦ adr ∈ st ↔ adr.lnum ∈ st ∧ @(adr.pos, adr.size) ∈ st[adr.lnum].ladrlist
Proof step 14:
# x = # lax, st[m] = mkblock(x, lax, m1), inv-flashsize(x, lax), m ∈ st, @(m, m0, 0).lnum ∈ st, @(@(m, m0, 0).pos, @(m, m0, 0).size) ∈ st[@(m, m0, 0).lnum].ladrlist, @(m, m0, 0) ∈ as, as ⊆ dom nodes(st) ⊦ # as = 0, as = ∅, dups(lax)

Rule argument

spec: ablock-store-inv name: in seq: ⊦ adr ∈ st ↔ adr.lnum ∈ st ∧ @(adr.pos, adr.size) ∈ st[adr.lnum].ladrlist subst: [st, adr] → [st, @(m, m0, 0)] flags: <all paths>

Additional information

Used terms: st, @(m, m0, 0)