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Proof step 73 from proof leninv-succ (previous step)

∃ m. nσ[m] = n ∧ (∀ m0. m < m0 → nσ[m0] = nσ[m] + 1), # nσ = ∞, stutf(nσ) ⊦ (∃ m. nσ[m] = n ∧ ¬(∀ m0. m < m0 → nσ[m0] = nσ[m])) ∧ (∀ m. (m ≠ 0 → (∃ m0. nσ[m0] = m - 1 ∧ ¬(∀ m1. m0 < m1 → nσ[m1] = m - 1))) → ¬ n + 1 < m)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 74:
# nσ = ∞, stutf(nσ), ∀ m0. m < m0 → nσ[m0] = nσ[m] + 1 ⊦ (∃ m0. nσ[m0] = nσ[m] ∧ ¬(∀ m1. m0 < m1 → nσ[m1] = nσ[m0])) ∧ ((m0 ≠ 0 → nσ[m1] = m0 - 1 ∧ ¬(m1 < m2 → nσ[m2] = m0 - 1)) → ¬ nσ[m] + 1 < m0)

Proof step 73 from proof leninv-succ (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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