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Proof step 6 from proof valid-group-nodes-ls (previous step)

gnd = mkgnode(nd, m, boolvar, boolvar0), n < (boolvar0 ⊃ # gndx + 1;valid-group-nodes(gndx)), # gndx < n, # gndx + 1 < valid-group-nodes(gndx), # gndx < valid-group-nodes(gndx), ∀ n. n < valid-group-nodes(gndx) → n < # gndx ⊦

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: ⊦ m +1 = m + 1; (s)% ⊦ m < n → n ≠ 0; (s)%transitivity: ⊦ n < n0 ∧ n0 < n1 → n < n1; (forward) from specification oelem[nat-set]%lf: ⊦ m < n ∧ n < n0 → m +1 < n0; (forward) from specification nat-basic%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic