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Proof step 2 from proof mininv-inverts-weak (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
nσ[min(nσ, n)] < n, ⌜min(nσ, n)⌝ < # nσ, mon<(nσ) ⊦

Rule argument

Additional information

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