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Proof step 97 from proof leninv-succ (previous step)

# nσ = ⌜m1⌝ + ⌜1⌝ , stutf(nσ), ∀ m. (∃ m0. ¬ m1 < m0 ∧ nσ[m0] = m - 1) → ¬ n + 1 < m, ∃ m. ¬ m1 < m ∧ nσ[m] = n ⊦ nσ[m1] = n

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 98:
# nσ = ⌜m1⌝ + ⌜1⌝ , stutf(nσ), m ≤ m1, ∀ m0. (∃ m2. ¬ m1 < m2 ∧ nσ[m2] = m0 - 1) → ¬ nσ[m] + 1 < m0 ⊦ nσ[m1] = nσ[m]

Rule argument

Additional information

Used simplifier rules: ⊦ m < n ↔ ¬ n ≤ m; (ss)