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Proof step 19 from proof lsleninv-1 (previous step)

# nσ = ∞, nσ[m2] < nσ[m], nσ[m0] < nσ[m], nσ[m2] < nσ[m0], m0 ≤ m, stutf(nσ), nσ[m2] + 1 < nσ[m], ∀ m0. m2 < m0 → nσ[m0] = nσ[m2] + 1 ⊦

User applied rule insert lemma

And obtained the following new goals

Proof step 20:
⊦ mon≤(nσ) ∧ m ≤ n ∧ ⌜n⌝ < # nσ → nσ[m] ≤ nσ[n]
Proof step 21:
mon≤(nσ) ∧ m0 ≤ m2 ∧ ⌜m2⌝ < # nσ → nσ[m0] ≤ nσ[m2], # nσ = ∞, nσ[m2] < nσ[m], nσ[m0] < nσ[m], nσ[m2] < nσ[m0], m0 ≤ m, stutf(nσ), nσ[m2] + 1 < nσ[m], ∀ m0. m2 < m0 → nσ[m0] = nσ[m2] + 1 ⊦

Rule argument

spec: inst: name: monle-leq seq: ⊦ mon≤(nσ) ∧ m ≤ n ∧ ⌜n⌝ < # nσ → nσ[m] ≤ nσ[n] subst: [nσ, m, n] → [nσ, m0, m2] flags: current, []

Additional information

Used terms: nσ, m0, m2