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Proof step 1 from proof inv-inverts-leq (conclusion)

⊦ stutf(nσ) ∧ ⌜n⌝ < # nσ ∧ ⌜nσ[n]⌝ < leninv(nσ) → (¬ ¬ inv(nσ)[nσ[n]] < n ↔ false)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
inv(nσ)[nσ[n]] < n, ⌜nσ[n]⌝ < leninv(nσ), ⌜n⌝ < # nσ, stutf(nσ) ⊦

Rule argument

Additional information

Used simplifier rules: f: ⊦ m < n → n ≠ 0; from specification nat-basic1%f: ⊦ m < n → n ≠ 0; (forward) from specification nat-basic1