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Proof step 6 from proof inv-get-inverse (previous step)

⌜n⌝ < leninv(nσ), stutf(nσ) ⊦ 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⌝ )[n] ] = n

User applied rule case distinction

And obtained the following new goals

Proof step 7:
leninv(nσ) = ∞, ⌜n⌝ < leninv(nσ), stutf(nσ) ⊦ nσ[⌜λ m. max∞(λ n. ⌜n⌝ < # nσ ∧ nσ[n] = m).n⌝ [n]] = n
Proof step 43:
⌜n⌝ < leninv(nσ), stutf(nσ) ⊦ nσ[⌜(λ m. max∞(λ n. ⌜n⌝ < # nσ ∧ nσ[n] = m).n) to leninv(nσ).n⌝ [n]] = n, leninv(nσ) = ∞

Rule argument

pos: right 1

Proof step 6 from proof inv-get-inverse (previous step)

User applied rule case distinction

And obtained the following new goals

Rule argument

Additional information