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Proof step 4 from proof nodes-alloc-append (previous step)

⊦ nodes(st[n, mkblock(a ', @(m, m0) ', m1)]) = nodes(st)[@(n, m, m0), a], n ∈ st

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ ast = ast0 ↔ (∀ adr. (adr ∈ ast ↔ adr ∈ ast0) ∧ (adr ∈ ast → ast[adr] = ast0[adr]))
Proof step 6:
⊦ n ∈ st, ∀ adr. (adr ∈ nodes(st[n, mkblock(a ', @(m, m0) ', m1)]) ↔ adr ∈ nodes(st)[@(n, m, m0), a]) ∧ (adr ∈ nodes(st[n, mkblock(a ', @(m, m0) ', m1)]) → nodes(st[n, mkblock(a ', @(m, m0) ', m1)])[adr] = nodes(st)[@(n, m, m0), a][adr])

Rule argument

spec: store, inst: address-store name: k-Extension seq: ⊦ ast = ast0 ↔ (∀ adr. (adr ∈ ast ↔ adr ∈ ast0) ∧ (adr ∈ ast → ast[adr] = ast0[adr])) subst: [ast0, ast] → [nodes(st)[@(n, m, m0), a], nodes(st[n, mkblock(a ', @(m, m0) ', m1)])] flags: <all paths>

Additional information

Used terms: nodes(st)[@(n, m, m0), a], nodes(st[n, mkblock(a ', @(m, m0) ', m1)])