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Proof step 22 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) to leninv(nσ).n⌝ [nσ[n]] = n

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 23:
# nσ = ⌜n⌝ + ⌜1⌝ , stutf(nσ) ⊦ leninv(nσ) = ∞, ((λ m. max∞(λ n0. ¬ n < n0 ∧ nσ[n0] = m).n) to leninv(nσ).n)[nσ[n]] = n

Rule argument

Additional information

Used simplifier rules: sel-fin: ⊦ ⌜nl⌝ [n] = nl[n]; from specification stream[natstream]