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Proof step 7 from proof transaction-prefix-last-nonend (previous step)

gndx + mkgnode(nd, n, boolvar, true) ' = mkgnode(nd0, m, true, boolvar1) ' + gndx0, # gndx + 1 < # ndx, ∀ n0. ¬ # gndx < n0 → (mkgnode(nd0, m, true, boolvar1) ' + gndx0)[n0].nd = ndx[n0], ∀ n0. (n0 ≠ 0 ∧ ¬ # gndx < n0 → ¬ (mkgnode(nd0, m, true, boolvar1) ' + gndx0)[n0].start) ∧ (¬ # gndx < n0 → ¬ (mkgnode(nd0, m, true, boolvar1) ' + gndx0)[n0].end), mkgnode(nd, n, boolvar, true) = mkgnode(nd0, m, true, boolvar1) ∨ mkgnode(nd, n, boolvar, true) ∈ gndx0, mkgnode(nd0, m, true, boolvar1) ∈ gndx ∨ mkgnode(nd0, m, true, boolvar1) = mkgnode(nd, n, boolvar, true) ⊦ ndx = []

User applied rule all left

And obtained the following new goals

Proof step 8:
gndx + mkgnode(nd, n, boolvar, true) ' = mkgnode(nd0, m, true, boolvar1) ' + gndx0, # gndx + 1 < # ndx, # gndx0 ≠ 0 ∧ ¬ # gndx < # gndx0 → ¬ (mkgnode(nd0, m, true, boolvar1) ' + gndx0)[# gndx0].start, ¬ # gndx < # gndx0 → ¬ (mkgnode(nd0, m, true, boolvar1) ' + gndx0)[# gndx0].end, ∀ n0. ¬ # gndx < n0 → (mkgnode(nd0, m, true, boolvar1) ' + gndx0)[n0].nd = ndx[n0], mkgnode(nd0, m, true, boolvar1) ∈ gndx ∨ mkgnode(nd0, m, true, boolvar1) = mkgnode(nd, n, boolvar, true), mkgnode(nd, n, boolvar, true) = mkgnode(nd0, m, true, boolvar1) ∨ mkgnode(nd, n, boolvar, true) ∈ gndx0 ⊦ ndx = []

Rule argument

pos: left 4 terms: # gndx0 abort: F discard: T computed: F

Additional information

Used terms: # gndx0