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Proof step 9 from proof inv-valid-adrs (previous step)

inv(st[m]), @(m, m0, 0) ∈ as, @(m, m0, 0) ∈ st, m ∈ st, as ⊆ dom nodes(st) ⊦ # as = 0, as = ∅

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 10:
⊦ inv(ablock) ↔ # ablock.list = # ablock.ladrlist ∧ inv-flashsize(ablock.list, ablock.ladrlist) ∧ ¬ dups(ablock.ladrlist)
Proof step 11:
# st[m].list = # st[m].ladrlist, inv-flashsize(st[m].list, st[m].ladrlist), m ∈ st, @(m, m0, 0) ∈ st, @(m, m0, 0) ∈ as, as ⊆ dom nodes(st) ⊦ # as = 0, as = ∅, dups(st[m].ladrlist)

Rule argument

spec: ablock-store-inv name: inv-block seq: ⊦ inv(ablock) ↔ # ablock.list = # ablock.ladrlist ∧ inv-flashsize(ablock.list, ablock.ladrlist) ∧ ¬ dups(ablock.ladrlist) subst: [ablock] → [st[m]] flags: <all paths>

Additional information

Used terms: st[m]