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Proof step 7 from proof in-diff (previous step)

(st \ ns)[m] = mkblock(x, lax, m2) ⊦ m ∈ st \ ns ∧ @(m0, m1) ∈ lax ↔ @(m, m0, m1) ∈ st ∧ ¬ m ∈ ns

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 8:
⊦ adr ∈ st ↔ adr.lnum ∈ st ∧ @(adr.pos, adr.size) ∈ st[adr.lnum].ladrlist
Proof step 9:
(st \ ns)[m] = mkblock(x, lax, m2) ⊦ m ∈ st \ ns ∧ @(m0, m1) ∈ lax ↔ (@(m, m0, m1).lnum ∈ st ∧ @(@(m, m0, m1).pos, @(m, m0, m1).size) ∈ st[@(m, m0, m1).lnum].ladrlist) ∧ ¬ m ∈ ns

Rule argument

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

Additional information

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