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Proof step 109 from proof leninv-succ (previous step)

# nσ = ⌜m1⌝ + ⌜1⌝ , nσ[m0] = m2, m = m2 + 1, nσ[m1] + 1 < m, stutf(nσ), m0 ≤ m1 ⊦ m = 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 110:
# nσ = ⌜m1⌝ + ⌜1⌝ , nσ[m1] < nσ[m0], stutf(nσ), m0 ≤ m1 ⊦

Rule argument

Additional information

Used simplifier rules: ⊦ m < n → n ≠ 0; (s)%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic% ⊦ m + n < m + n0 ↔ n < n0; (s)%c: ⊦ m + n = n + m; from specification nat-basic%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic% ⊦ m + 1 ≠ 0; (s)