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Proof step 7 from proof leninv-inf-strong (previous step)

# nσ = ∞, stutf(nσ), ∃ m0. 0 < m0 ∧ nσ[0] < nσ[m0] ⊦ ∃ m. nσ[m] ≠ 0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
# nσ = ∞, stutf(nσ) ⊦ m = 0, nσ[m] = 0, ∃ m. nσ[m] ≠ 0

Rule argument

Additional information

Used simplifier rules: stutf-zero: ⊦ stutf(nσ) → nσ[0] = 0;%zero: ⊦ 0 < m ↔ m ≠ 0; from specification nat-basic1