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Proof step 18 from proof transaction-prefix-app-nonlast (previous step)

# ndx = # gndx1 + 1, (mkgnode(nd0, m, true, boolvar0) ' + gndx1 + mkgnode(nd, n, ndx = [], false) ')[n0] = mkgnode(nd3, m2, true, boolvar6), (mkgnode(nd0, m, true, boolvar0) ' + gndx1 + mkgnode(nd, n, ndx = [], false) ')[n1] = mkgnode(nd1, m0, boolvar1, boolvar2), n0 ≤ # ndx, ¬ # gndx1 < n0 → ¬ (mkgnode(nd0, m, true, boolvar0) ' + gndx1)[n0].end, ¬ # gndx1 < n0 → ¬ (mkgnode(nd0, m, true, boolvar0) ' + gndx1)[n0].start, ∀ n2. ¬ # gndx1 < n2 → (mkgnode(nd0, m, true, boolvar0) ' + gndx1)[n2].nd = (ndx + nd ' + ndx1)[n2] ⊦ n0 = 0, ndx1 = []

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

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] → [(mkgnode(nd0, m, true, boolvar0) ' + gndx1)[n0], nd2, m1, boolvar, boolvar3]

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: (mkgnode(nd0, m, true, boolvar0) ' + gndx1)[n0], nd2, m1, boolvar, boolvar3