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Proof step 1 from proof mininv-inverts-weak (conclusion)

⊦ mon<(nσ) ∧ ⌜min(nσ, n)⌝ < # nσ → (¬ ¬ nσ[min(nσ, n)] < n ↔ false)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 2:
mon<(nσ), ⌜min(nσ, n)⌝ < # nσ, nσ[min(nσ, n)] < n ⊦ n = 0

Rule argument

Additional information

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