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Proof step 6 from proof inv-inverts-last (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 7:
leninv(nσ) = ∞, # nσ = ⌜n⌝ + ⌜1⌝ , stutf(nσ) ⊦ max∞(λ n0. ¬ n < n0 ∧ nσ[n0] = nσ[n]).n = n

Rule argument

Additional information

Used simplifier rules: sel-inf: ⊦ ⌜nnf⌝ [n] = nnf(n); from specification stream[natstream]