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Proof step 122 from proof inv-get-inverse-between (previous step)

# nσ = ∞, nσ[m0] = nσ[n1] + 1, nσ[n1] < nσ[m1], n1 + m + 1 < ∞.n, stutf(nσ), nσ[m0] ≤ nσ[m1], m0 ≤ m1, ∀ m0. m1 < m0 → nσ[m0] = nσ[m1] + 1, ∀ m. nσ[m] = nσ[n1] → ¬ n1 < m, ∀ n. nσ[n] ≠ nσ[m0] ⊦ nσ[n1 + m + 1] = nσ[m0]

Heuristic quantifier closing applied rule all left

And closed the goal!

Rule argument

pos: left 10 terms: m0

Additional information

Used terms: m0