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Proof step 10 from proof nodes-write-at-other (previous step)

gstore[@(m0, m1, m2)] = mkgnode(nd, m, boolvar, boolvar0), @(m0, m1, m2) ∈ gstore, n ∈ gstore ⊦ (∅)[@(m0, m1, m2)] = nd, n = m0, @(m0, m1, m2) ∈ gstore[n, gblock], m0 ∈ ginval

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 11:
⊦ adr ∈ gstore ↔ adr.lnum ∈ gstore ∧ @(adr.pos, adr.size) ∈ gstore[adr.lnum].ladrlist
Proof step 12:
gstore[@(m0, m1, m2)] = mkgnode(nd, m, boolvar, boolvar0), n ∈ gstore, @(m0, m1, m2) ∈ gstore ⊦ (∅)[@(m0, m1, m2)] = nd, n = m0, m0 ∈ ginval, @(m0, m1, m2).lnum ∈ gstore[n, gblock] ∧ @(@(m0, m1, m2).pos, @(m0, m1, m2).size) ∈ gstore[n, gblock][@(m0, m1, m2).lnum].ladrlist

Rule argument

spec: ablock-store-inv, inst: group-store name: in seq: ⊦ adr ∈ gstore ↔ adr.lnum ∈ gstore ∧ @(adr.pos, adr.size) ∈ gstore[adr.lnum].ladrlist subst: [gstore, adr] → [gstore[n, gblock], @(m0, m1, m2)] flags: <all paths>

Additional information

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