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Proof step 3 from proof succlessleninv-invsize (previous step)

⌜m⌝ = leninv(nσ), # nσ = ⌜inv(nσ)[n]⌝ + ⌜1⌝ , ⌜n⌝ + ⌜1⌝ < leninv(nσ), stutf(nσ) ⊦

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
# nσ = ⌜inv(nσ)[n]⌝ + ⌜1⌝ , ⌜m⌝ = leninv(nσ), stutf(nσ), 1 + n < m ⊦ m = 0

Rule argument

Additional information

Used simplifier rules: f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic1%add-comm: ⊦ n∞1 + n∞2 = n∞2 + n∞1; from specification nat-inf%add-assoc: ⊦ (n∞ + n∞1) + n∞2 = n∞ + n∞1 + n∞2; from specification nat-inf%ls-natinf-to-nat-2-1: ⊦ ⌜n⌝ + ⌜m⌝ < ⌜n0⌝ ↔ n + m < n0; from specification nat-inf