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Proof step 8 from proof in-write-refsize (previous step)

st[n, st[n].ref-size:= m][m0] = mkblock(x, lax, m3), n ∈ st ⊦ m0 ∈ st[n, st[n].ref-size:= m] ∧ @(m1, m2) ∈ lax ↔ @(m0, m1, m2) ∈ st

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 9:
⊦ adr ∈ st ↔ adr.lnum ∈ st ∧ @(adr.pos, adr.size) ∈ st[adr.lnum].ladrlist
Proof step 10:
st[n, st[n].ref-size:= m][m0] = mkblock(x, lax, m3), n ∈ st ⊦ m0 ∈ st[n, st[n].ref-size:= m] ∧ @(m1, m2) ∈ lax ↔ @(m0, m1, m2).lnum ∈ st ∧ @(@(m0, m1, m2).pos, @(m0, m1, m2).size) ∈ st[@(m0, m1, m2).lnum].ladrlist

Rule argument

spec: <toplevel> name: in seq: ⊦ adr ∈ st ↔ adr.lnum ∈ st ∧ @(adr.pos, adr.size) ∈ st[adr.lnum].ladrlist subst: [st, adr] → [st, @(m0, m1, m2)] flags: <all paths>

Additional information

Used terms: st, @(m0, m1, m2)