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Proof step 29 from proof inv-inverts-last (previous step)

n1 = 0, # nσ = ⌜n⌝ + ⌜1⌝ , leninv(nσ) = ⌜n1⌝ , stutf(nσ), n1 ≤ nσ[n] ⊦ ((λ m. max∞(λ n0. ¬ n < n0 ∧ nσ[n0] = m).n) to n1)[nσ[n]] = n

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 30:
# nσ = ⌜n⌝ + ⌜1⌝ , leninv(nσ) = ⌜0⌝ , stutf(nσ) ⊦ ([])[nσ[n]] = n

Rule argument

Additional information

Used simplifier rules: lez: ⊦ 0 ≤ m; from specification nat%to-zero-nf: ⊦ nnf to 0 = []; from specification stream[natstream]