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Proof step 8 from proof nodes-cons-write-other (previous step)

# ax = # ndx, ax[n0] = @(m0, m1, m2), gstore[n] = groupblock(gndx, lax, m3), n0 < # ndx, ∀ n. n < # ndx → ax[n] ∈ gstore ∧ ¬ ax[n].lnum ∈ ginval ∧ gstore[ax[n]].nd = ndx[n] ⊦ ndx = [], @(m0, m1, m2) ∈ gstore[n, groupblock(gndx, lax, m)] ∧ ¬ m0 ∈ ginval ∧ gstore[n, groupblock(gndx, lax, m)][@(m0, m1, m2)].nd = ndx[n0]

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 9:
# 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), n0 < # ndx, ∀ n. n < # ndx → ax[n] ∈ gstore ∧ ¬ ax[n].lnum ∈ ginval ∧ gstore[ax[n]].nd = ndx[n] ⊦ ndx = [], @(m0, m1, m2) ∈ gstore[n, groupblock(gndx, lax, m)] ∧ ¬ m0 ∈ ginval ∧ nd = ndx[n0]

Rule argument

spec: groupnode name: elim seq: ⊦ ((nd = gnd.nd ∧ m = gnd.sqnum) ∧ (boolvar ↔ gnd.start)) ∧ (boolvar0 ↔ gnd.end) ↔ gnd = mkgnode(nd, m, boolvar, boolvar0) subst: [gnd, nd, m, boolvar, boolvar0] → [gstore[n, groupblock(gndx, lax, m)][@(m0, m1, m2)], nd, m4, boolvar, boolvar0]

Additional information

Used simplifier rules: ⊦ ((nd = gnd.nd ∧ m = gnd.sqnum) ∧ (boolvar ↔ gnd.start)) ∧ (boolvar0 ↔ gnd.end) ↔ gnd = mkgnode(nd, m, boolvar, boolvar0); (elim) Used terms: gstore[n, groupblock(gndx, lax, m)][@(m0, m1, m2)], nd, m4, boolvar, boolvar0