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Proof step 11 from proof nodes-write-nochange (previous step)

gstore[n] = groupblock(gndx, lax, m0), n ∈ gstore, @(m1, m2, m3) ∈ gstore ⊦ nodes(gstore[n, groupblock(gndx, lax, m)], ginval)[@(m1, m2, m3)] = nodes(gstore, ginval)[@(m1, m2, m3)], m1 ∈ ginval

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 12:
⊦ adr ∈ gstore ↔ adr.lnum ∈ gstore ∧ @(adr.pos, adr.size) ∈ gstore[adr.lnum].ladrlist
Proof step 13:
gstore[n] = groupblock(gndx, lax, m0), @(m1, m2, m3).lnum ∈ gstore, @(@(m1, m2, m3).pos, @(m1, m2, m3).size) ∈ gstore[@(m1, m2, m3).lnum].ladrlist, n ∈ gstore ⊦ nodes(gstore[n, groupblock(gndx, lax, m)], ginval)[@(m1, m2, m3)] = nodes(gstore, ginval)[@(m1, m2, m3)], m1 ∈ ginval

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, @(m1, m2, m3)] flags: <all paths>

Additional information

Used terms: gstore, @(m1, m2, m3)