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Proof step 3 from proof nodes-allocate (previous step)

⊦ nodes(gstore[m, groupblock([], [], m0)], ginval -- m) = nodes(gstore, ginval), m ∈ gstore

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ fs = fs0 ↔ (∀ adr. (adr ∈ fs ↔ adr ∈ fs0) ∧ (adr ∈ fs → fs[adr] = fs0[adr]))
Proof step 5:
⊦ m ∈ gstore, ∀ adr. (adr ∈ nodes(gstore[m, groupblock([], [], m0)], ginval -- m) ↔ adr ∈ nodes(gstore, ginval)) ∧ ( adr ∈ nodes(gstore[m, groupblock([], [], m0)], ginval -- m) → nodes(gstore[m, groupblock([], [], m0)], ginval -- m)[adr] = nodes(gstore, ginval)[adr])

Rule argument

spec: store, inst: node-store name: k-Extension seq: ⊦ fs = fs0 ↔ (∀ adr. (adr ∈ fs ↔ adr ∈ fs0) ∧ (adr ∈ fs → fs[adr] = fs0[adr])) subst: [fs0, fs] → [nodes(gstore, ginval), nodes(gstore[m, groupblock([], [], m0)], ginval -- m)] flags: <all paths>

Additional information

Used terms: nodes(gstore, ginval), nodes(gstore[m, groupblock([], [], m0)], ginval -- m)