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Proof step 27 from proof inv-get-inverse-succ (previous step)

# nσ = ∞, nσ[n] = nσ[n0], n0 < n, n0 < m, nσ[n0] < nσ[m], m < n, n0 + 1 < n, stutf(nσ), ∀ n. ∃ m. nσ[m] = n ⊦ n0 = 0

User applied rule insert lemma

And obtained the following new goals

Rule argument

spec: <toplevel> name: monle-leq seq: ⊦ mon≤(nσ) ∧ m ≤ n ∧ ⌜n⌝ < # nσ → nσ[m] ≤ nσ[n] subst: [nσ, m, n] → [nσ, m, n]

Additional information

Used simplifier rules: stutf-monle: ⊦ stutf(nσ) → (mon≤(nσ) ↔ true);% ⊦ m < n → m ≤ n; (s)% ⊦ ⌜m⌝ < ∞; (s)% ⊦ m < n → (n ≤ m ↔ false); (s) Used terms: nσ, m, n