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Proof step 5 from proof valid-group-nodes-shorter-prefix-right (previous step)

⊦ (∀ gndx, n1. [] = gndx ∧ valid-group-nodes(gndx) < valid-group-nodes(prefixn(n1, gndx)) ∧ valid-group-nodes(gndx) < # prefixn(n1, gndx) → gndx = [] ∨ n1 = 0) ∧ (∀ gndx, gnd. (∀ gndx1, n1. gndx = gndx1 ∧ valid-group-nodes(gndx1) < valid-group-nodes(prefixn(n1, gndx1)) ∧ valid-group-nodes(gndx1) < # prefixn(n1, gndx1) → gndx1 = [] ∨ n1 = 0) → (∀ gndx1, n1. gndx + gnd = gndx1 ∧ valid-group-nodes(gndx1) < valid-group-nodes(prefixn(n1, gndx1)) ∧ valid-group-nodes(gndx1) < # prefixn(n1, gndx1) → gndx1 = [] ∨ n1 = 0))

Heuristic pl case distinction applied rule case distinction

And obtained the following new goals

Rule argument

pos: right 1

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