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Proof step 3 from proof leninv-is-len-inv (previous step)

stutf(nσ) ⊦ stutf(nσ) → # (leninv(nσ) = ∞ ⊃ ⌜λ m. max∞(λ n. ⌜n⌝ < # nσ ∧ nσ[n] = m).n⌝ ;⌜λ m. max∞(λ n. ⌜n⌝ < # nσ ∧ nσ[n] = m).n⌝ to leninv(nσ).n) = leninv(nσ)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
stutf(nσ) ⊦ # (leninv(nσ) = ∞ ⊃ ⌜λ m. max∞(λ n. ⌜n⌝ < # nσ ∧ nσ[n] = m).n⌝ ;⌜(λ m. max∞(λ n. ⌜n⌝ < # nσ ∧ nσ[n] = m).n) to leninv(nσ).n⌝ ) = leninv(nσ)

Rule argument

Additional information

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