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Proof step 86 from proof inv-get-inverse (previous step)

max∞(λ n0. ⌜n0⌝ < # nσ ∧ nσ[n0] = n) = ⌜n1⌝ , stutf(nσ), n ≤ n2, (# nσ = ∞ ⊃ nσ[m] = n2 ∧ (∀ m0. m < m0 → nσ[m0] = nσ[m] + 1);nσ[(# nσ).n - 1] = n2) ⊦ nσ[n1] = n

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: inst: name: maxinf-fin seq: ⊦ max∞(np) = ⌜n⌝ ↔ np(n) ∧ (∀ m. np(m) → ¬ n < m) subst: [n, np] → [n1, λ n0. ⌜n0⌝ < # nσ ∧ nσ[n0] = n] flags: rewrite, current

Additional information

Used terms: n1, λ n0. ⌜n0⌝ < # nσ ∧ nσ[n0] = n