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Proof step 64 from proof leninv-inf (previous step)

# nσ = ⌜n0⌝ + ⌜1⌝ , stutf(nσ), ∀ n. ¬(n ≠ 0 → (∃ m. ¬ n0 < m ∧ nσ[m] = n - 1)) ⊦

User applied rule all left

And obtained the following new goals

Proof step 65:
# nσ = ⌜n0⌝ + ⌜1⌝ , stutf(nσ), ¬(nσ[n0] + 1 ≠ 0 → (∃ m. ¬ n0 < m ∧ nσ[m] = nσ[n0] + 1 - 1)), ∀ n. ¬(n ≠ 0 → (∃ m. ¬ n0 < m ∧ nσ[m] = n - 1)) ⊦

Rule argument

pos: left 3 terms: nσ[n0] + 1 abort: F discard: F computed: F

Additional information

Used terms: nσ[n0] + 1