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Proof step 27 from proof inv-inverts-leq (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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