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Proof step 30 from proof leninv-inf (previous step)

# nσ = ∞, stutf(nσ), n0 ≠ 0 → nσ[m] = n0 - 1 ∧ ¬(m < m0 → nσ[m0] = n0 - 1), ∀ n. ∃ m. nσ[m] = n, ∀ m. ∃ m0. m < m0 ∧ nσ[m] < nσ[m0] ⊦ nσ[m1] = nσ[m1] ∧ ¬(∀ m2. m1 < m2 → nσ[m2] = nσ[m1])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 31:
# nσ = ∞, stutf(nσ), n0 ≠ 0 → nσ[m] = n0 - 1 ∧ ¬(m < m0 → nσ[m0] = n0 - 1), ∀ m. ∃ m0. m < m0 ∧ nσ[m] < nσ[m0], ∀ n. ∃ m. nσ[m] = n, ∀ m2. m1 < m2 → nσ[m2] = nσ[m1] ⊦

Proof step 30 from proof leninv-inf (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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