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Proof step 81 from proof inv-get-inverse (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 82:
leninv(nσ) = ⌜n0⌝ , max∞(λ n0. ⌜n0⌝ < # nσ ∧ nσ[n0] = n) = ⌜n1⌝ , n < n0, stutf(nσ) ⊦ nσ[n1] = n

Rule argument

Additional information

Used simplifier rules: ⊦ ⌜m⌝ ≠ ∞; (s)