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Proof step 7 from proof induction-rev-list (previous step)

φ([]), ∀ gndx0, gnd. φ(gndx0) → φ(gndx0 + gnd '), ∀ gndx0, φ. # gndx0 < # gndx → φ([]) ∧ (∀ gndx0, gnd. φ(gndx0) → φ(gndx0 + gnd ')) → φ(gndx0) ⊦ φ(gndx), ∀ gndx0, gnd. gndx ≠ gndx0 + gnd '

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
φ([]), ∀ gndx0, gnd. φ(gndx0) → φ(gndx0 + gnd '), ∀ gndx1, φ. # gndx1 < #(gndx0 + gnd ') → φ([]) ∧ (∀ gndx0, gnd. φ(gndx0) → φ(gndx0 + gnd ')) → φ(gndx1) ⊦ φ(gndx0 + gnd ')

Proof step 7 from proof induction-rev-list (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information