| ¬ boolvar0, transaction-prefix(ndx, gndx + mkgnode(nd, m, boolvar, boolvar0) '), ∀ gndx2, ndx, gndx0. # gndx2 < #(gndx + mkgnode(nd, m, boolvar, boolvar0) ') → transaction-prefix(ndx, gndx2) → valid-group-nodes(gndx0 + gndx2) = valid-group-nodes(gndx0) ⊦ valid-group-nodes(gndx0 + gndx) = valid-group-nodes(gndx0) |
transaction-prefix(ndx, gndx + mkgnode(nd, m, boolvar, false) '), ∀ gndx2, ndx, gndx0. # gndx2 < #(gndx + mkgnode(nd, m, boolvar, false) ') → transaction-prefix(ndx, gndx2) → valid-group-nodes(gndx0 + gndx2) = valid-group-nodes(gndx0) ⊦ valid-group-nodes(gndx0 + gndx) = valid-group-nodes(gndx0)