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Proof step 18 from proof leninv-inf (previous step)

# nσ = ∞, nσ[m] < nσ[m0], stutf(nσ), m0 < m1 ⊦ nσ[m1] = nσ[m0], m < m0 ∧ nσ[m] < nσ[m0]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 19:
# nσ = ∞, nσ[m] < nσ[m0], stutf(nσ), m0 < m1, m0 ≤ m ⊦ nσ[m1] = nσ[m0]

Rule argument

Additional information

Used simplifier rules: lels: ⊦ ¬ m < n ↔ n ≤ m; from specification nat