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Proof step 17 from proof inv-inverts-last (previous step)

max∞(λ n0. ¬ n < n0 ∧ nσ[n0] = nσ[n]) = ⌜n1⌝ , leninv(nσ) = ∞, # nσ = ⌜n⌝ + ⌜1⌝ , stutf(nσ) ⊦ n1 = n, max∞(λ n0. ¬ n < n0 ∧ nσ[n0] = nσ[n]) = ∞

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 18:
# nσ = ⌜n⌝ + ⌜1⌝ , leninv(nσ) = ∞, max∞(λ n0. ¬ n < n0 ∧ nσ[n0] = nσ[n]) = ⌜n1⌝ , stutf(nσ) ⊦ n1 = n

Rule argument

Additional information

Used simplifier rules: disj: ⊦ ⌜m⌝ ≠ ∞; from specification nat-inf-basic