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Proof step 3 from proof nodes-write-at-other (previous step)

n ∈ gstore ⊦ nodes(gstore[n, gblock], ginval)[@(m0, m1, m2)] = nodes(gstore, ginval)[@(m0, m1, m2)], n = m0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ adr ∈ nodes(gstore, ginval) → nodes(gstore, ginval)[adr] = gstore[adr].nd
Proof step 5:
n ∈ gstore ⊦ nodes(gstore[n, gblock], ginval)[@(m0, m1, m2)] = nodes(gstore, ginval)[@(m0, m1, m2)], n = m0, @(m0, m1, m2) ∈ nodes(gstore[n, gblock], ginval)
Proof step 14:
n ∈ gstore, @(m0, m1, m2) ∈ nodes(gstore[n, gblock], ginval) ⊦ gstore[n, gblock][@(m0, m1, m2)].nd = nodes(gstore, ginval)[@(m0, m1, m2)], n = m0

Rule argument

spec: <toplevel> name: nodes-gstore-at seq: ⊦ adr ∈ nodes(gstore, ginval) → nodes(gstore, ginval)[adr] = gstore[adr].nd subst: [adr, ginval, gstore] → [@(m0, m1, m2), ginval, gstore[n, gblock]] flags: <all paths>

Additional information

Used terms: @(m0, m1, m2), ginval, gstore[n, gblock]