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Proof step 7 from proof nodes-append (previous step)

st[n] = mkblock(x, lax, m0), inv(mkblock(x, lax, m0)), n ∈ st ⊦ @(m, m2) ∈ lax, (adr ∈ st ∨ adr = @(n, m, m2) → adr ∈ nodes(st)[@(n, m, m2), a]) ∧ (adr ∈ st ∨ adr = @(n, m, m2) → nodes(st[n, mkblock(x + a ', lax + @(m, m2) ', m1)])[adr] = nodes(st)[@(n, m, m2), a][adr])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 8:
⊦ inv(ablock) ↔ # ablock.list = # ablock.ladrlist ∧ inv-flashsize(ablock.list, ablock.ladrlist) ∧ ¬ dups(ablock.ladrlist)
Proof step 9:
# mkblock(x, lax, m0).list = # mkblock(x, lax, m0).ladrlist, st[n] = mkblock(x, lax, m0), inv-flashsize(mkblock(x, lax, m0).list, mkblock(x, lax, m0).ladrlist), n ∈ st ⊦ dups(mkblock(x, lax, m0).ladrlist), @(m, m2) ∈ lax, (adr ∈ st ∨ adr = @(n, m, m2) → adr ∈ nodes(st)[@(n, m, m2), a]) ∧ (adr ∈ st ∨ adr = @(n, m, m2) → nodes(st[n, mkblock(x + a ', lax + @(m, m2) ', m1)])[adr] = nodes(st)[@(n, m, m2), a][adr])

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] → [mkblock(x, lax, m0)] flags: <all paths>

Additional information

Used terms: mkblock(x, lax, m0)