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Proof step 59 from proof leninv-succ (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 60:
nσ[m] = nσ[m + 1], nσ[(m1 + 1) + m] = nσ[m] + 1, # nσ = ∞, stutf(nσ), nσ[m1 + m] = nσ[m] + 1 ∧ m1 ≠ 0 → m ≤ m0 ∧ m0 < m1 + m ∧ nσ[m] = nσ[m0] ∧ nσ[m0 + 1] = nσ[m0] + 1, m1 ≠ 0 → m < m2 ∧ ¬ m1 + m < m2 ∧ nσ[m] = nσ[m2] ∧ nσ[m2 + 1] = nσ[m2] + 1 ⊦ ∃ m0. m ≤ m0 ∧ ¬ m1 + m < m0 ∧ nσ[m] = nσ[m0] ∧ nσ[m0 + 1] = nσ[m0] + 1

Proof step 59 from proof leninv-succ (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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