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Proof step 37 from proof leninv-succ (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 38:
nσ[m] = nσ[m1], nσ[m1 + 1] = nσ[m0], # nσ = ∞, nσ[m0] = nσ[m1] + 1, m < m2, m1 < m2, m ≤ m1, m1 < m0, stutf(nσ), m < m0, nσ[m0] < nσ[m2] ⊦ m2 = 0, nσ[m2] = nσ[m0], m0 = 0, nσ[m2] = 0, ∃ m1. nσ[m1] = nσ[m2] - 1 ∧ ¬(∀ m. m1 < m → nσ[m] = nσ[m2] - 1)

Proof step 37 from proof leninv-succ (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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