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Proof step 37 from proof inv-get-lslen (
previous step
)
leninv(nσ) = ⌜n0⌝ , max∞(λ n0. ⌜n0⌝ < # nσ ∧ nσ[n0] = n) = ⌜n1⌝ , n < n0, stutf(nσ) ⊦ ⌜n1⌝ < # nσ
User applied rule insert rewrite lemma
And obtained the following new goals
Proof step 38
:
⊦ max∞(np) = ⌜n⌝ ↔ np(n) ∧ (∀ m. np(m) → ¬ n < m)
Rule argument
spec: <toplevel> 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: <all paths>
Additional information
Used terms: n1, λ n0. ⌜n0⌝ < # nσ ∧ nσ[n0] = n