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Proof step 16 from proof nodes-cons-write-other (previous step)

# 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, m0 ∈ gstore[n, groupblock(gndx, lax, m)] ⊦ ndx = [], m0 ∈ ginval, nd = ndx[n0] ∧ @(m1, m2) ∈ gstore[n, groupblock(gndx, lax, m)][m0].ladrlist

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 17:
# 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), gstore[n, groupblock(gndx, lax, m)][m0] = groupblock(gndx0, lax0, m6), n0 < # ndx, m0 ∈ gstore[n, groupblock(gndx, lax, m)], @(m0, m1, m2) ∈ gstore ⊦ ndx = [], m0 ∈ ginval, nd = ndx[n0] ∧ @(m1, m2) ∈ lax0

Rule argument

spec: ablock, inst: group-store name: elim seq: ⊦ (gndx = gblock.gndlist ∧ lax = gblock.ladrlist) ∧ m = gblock.ref-size ↔ gblock = groupblock(gndx, lax, m) subst: [gblock, gndx, lax, m] → [gstore[n, groupblock(gndx, lax, m)][m0], gndx0, lax0, m6]

Additional information

Used simplifier rules: ⊦ (gndx = gblock.gndlist ∧ lax = gblock.ladrlist) ∧ m = gblock.ref-size ↔ gblock = groupblock(gndx, lax, m); (elim) Used terms: gstore[n, groupblock(gndx, lax, m)][m0], gndx0, lax0, m6