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Proof step 22 from proof leq-leninv (previous step)

# nσ = ⌜n0⌝ , nσ[n0 - 1] + 1 < nσ[n], ⌜n⌝ < # nσ, stutf(nσ) ⊦ # nσ = ∞

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 23:
# nσ = ⌜n0⌝ , n < n0, nσ[n0 - 1] + 1 < nσ[n], stutf(nσ) ⊦

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 < n; (s)% ⊦ ⌜m⌝ ≠ ∞; (s)