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Proof step 81 from proof leninv-succ (previous step)

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

Heuristic elimination applied rule insert elim lemma

And obtained the following new goals

Proof step 82:
m0 = m3 + 1, # nσ = ∞, nσ[m1] = m3, stutf(nσ), nσ[m] + 1 < m0, m1 < m2, ∀ m0. m < m0 → nσ[m0] = nσ[m] + 1 ⊦ m0 = 0, nσ[m2] = m3, m2 = 0

Rule argument

spec: nat inst: name: elim-pred-c seq: n ≠ 0 ⊦ m = n - 1 ↔ n = m + 1 subst: [n, m] → [m0, m3] flags:

Additional information

Used simplifier rules: n ≠ 0 ⊦ m = n - 1 ↔ n = m + 1; (elim) Used terms: m0, m3