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

# ndx = # gndx1 + 1, (mkgnode(nd0, m, true, boolvar0) ' + gndx1 + mkgnode(nd, n, ndx = [], true) ')[n0] = mkgnode(nd3, m2, true, boolvar6), (mkgnode(nd0, m, true, boolvar0) ' + gndx1 + mkgnode(nd, n, ndx = [], true) ')[n1] = mkgnode(nd1, m0, boolvar1, boolvar2), (mkgnode(nd0, m, true, boolvar0) ' + gndx1)[n0] = mkgnode(nd4, m3, boolvar7, boolvar8), n0 ≤ # ndx, n0 ≠ 0 ∧ ¬ # gndx1 < n0 → ¬ (mkgnode(nd0, m, true, boolvar0) ' + gndx1)[n0].start, ¬ # gndx1 < n0 → ¬ (mkgnode(nd0, m, true, boolvar0) ' + gndx1)[n0].end, ∀ n2. ¬ # gndx1 < n2 → (mkgnode(nd0, m, true, boolvar0) ' + gndx1)[n2].nd = (ndx + nd ')[n2] ⊦ n0 = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 19:
# ndx = # gndx1 + 1, (mkgnode(nd0, m, true, boolvar0) ' + gndx1 + mkgnode(nd, n, ndx = [], true) ')[n0] = mkgnode(nd3, m2, true, boolvar6), (mkgnode(nd0, m, true, boolvar0) ' + gndx1 + mkgnode(nd, n, ndx = [], true) ')[n1] = mkgnode(nd1, m0, boolvar1, boolvar2), (mkgnode(nd0, m, true, boolvar0) ' + gndx1)[n0] = mkgnode(nd4, m3, boolvar7, boolvar8), n0 ≤ # ndx, ¬ # gndx1 < n0 → ¬ boolvar7, ¬ # gndx1 < n0 → ¬ boolvar8, ∀ n2. ¬ # gndx1 < n2 → (mkgnode(nd0, m, true, boolvar0) ' + gndx1)[n2].nd = (ndx + nd ')[n2] ⊦ n0 = 0

Rule argument

Additional information

Used simplifier rules: ⊦ mkgnode(nd, m, boolvar, boolvar0).end ↔ boolvar0; (s)% ⊦ mkgnode(nd, m, boolvar, boolvar0).start ↔ boolvar; (s)%a: ⊦ (gndx + gndx0) + gndx1 = gndx + gndx0 + gndx1; from specification list[group-store]