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

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

User applied rule all left

And obtained the following new goals

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

Rule argument

pos: left 12 terms: nσ[m2] abort: F discard: T computed: F

Additional information

Used terms: nσ[m2]