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Proof step 36 from proof transaction-prefix-is-transaction-prefix (previous step)

# gndx0 + 1 = # ndx, gndx0.last = mkgnode(nd3, m3, boolvar6, true), (mkgnode(nd, m, true, boolvar0) ' + prefixn(m1, gndx0))[n1] = mkgnode(nd0, m0, boolvar, boolvar1), (mkgnode(nd, m, true, boolvar0) ' + prefixn(m1, gndx0))[n0] = mkgnode(nd2, m2, true, boolvar5), m1 < # gndx0, n0 < # gndx0, 1 ≤ # gndx0, n0 ≤ m1, n0 < # ndx → ¬ (mkgnode(nd, m, true, boolvar0) ' + gndx0)[n0].start, ∀ n2. n2 < # ndx → (mkgnode(nd, m, true, boolvar0) ' + gndx0)[n2].nd = ndx[n2] ⊦ # ndx = 1, gndx0 = [], n0 = 0, ndx = [], (mkgnode(nd, m, true, boolvar0) ' + gndx0)[n0].end

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(nd, m, true, boolvar0) ' + gndx0)[n0], nd1, m4, boolvar2, 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(nd, m, true, boolvar0) ' + gndx0)[n0], nd1, m4, boolvar2, boolvar3