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Proof step 19 from proof inv-inverts-leq (previous step)

# nσ = ∞, ∞.n < n, ⌜n⌝ < # nσ, stutf(nσ), ∀ n0. ∃ n1. n0 < n1 ∧ ⌜n1⌝ < # nσ ∧ nσ[n1] = nσ[n], ∀ m. ∃ m0. m < m0 ∧ nσ[m] < nσ[m0] ⊦

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 20:
# nσ = ∞, ∞.n < n, stutf(nσ), ∀ m. ∃ m0. m < m0 ∧ nσ[m] < nσ[m0], ∀ n0. ∃ n1. n0 < n1 ∧ nσ[n1] = nσ[n] ⊦

Rule argument

Additional information

Used simplifier rules: ⊦ ⌜m⌝ < ∞; (s)