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Proof step 13 from proof nodes-cons-write-other (previous step)

# ax = # ndx, gstore[@(m0, m1, m2)] = mkgnode(ndx[n0], m5, boolvar1, boolvar2), gstore[n, groupblock(gndx, lax, m)][@(m0, m1, m2)] = mkgnode(nd, m4, boolvar, boolvar0), ax[n0] = @(m0, m1, m2), gstore[n] = groupblock(gndx, lax, m3), n0 < # ndx, @(m0, m1, m2) ∈ gstore ⊦ ndx = [], m0 ∈ ginval, @(m0, m1, m2) ∈ gstore[n, groupblock(gndx, lax, m)] ∧ nd = ndx[n0]

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 14:
⊦ adr ∈ gstore ↔ adr.lnum ∈ gstore ∧ @(adr.pos, adr.size) ∈ gstore[adr.lnum].ladrlist
Proof step 15:
# ax = # ndx, gstore[n] = groupblock(gndx, lax, m3), ax[n0] = @(m0, m1, m2), gstore[n, groupblock(gndx, lax, m)][@(m0, m1, m2)] = mkgnode(nd, m4, boolvar, boolvar0), gstore[@(m0, m1, m2)] = mkgnode(ndx[n0], m5, boolvar1, boolvar2), n0 < # ndx, @(m0, m1, m2) ∈ gstore ⊦ ndx = [], m0 ∈ ginval, ( @(m0, m1, m2).lnum ∈ gstore[n, groupblock(gndx, lax, m)] ∧ @(@(m0, m1, m2).pos, @(m0, m1, m2).size) ∈ gstore[n, groupblock(gndx, lax, m)][@(m0, m1, m2).lnum].ladrlist) ∧ nd = ndx[n0]

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, groupblock(gndx, lax, m)], @(m0, m1, m2)] flags: <all paths>

Additional information

Used terms: gstore[n, groupblock(gndx, lax, m)], @(m0, m1, m2)