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Proof step 2 from proof mininv-inverts-weak2 (previous step)

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

User applied rule insert lemma

And obtained the following new goals

Rule argument

spec: <toplevel> name: mininv-inverts-weak seq: ⊦ mon<(nσ) ∧ ⌜min(nσ, n)⌝ < # nσ → (nσ[min(nσ, n)] < n ↔ false) subst: [nσ, n] → [nσ, n]

Additional information

Used simplifier rules: mininv-inverts-weak: ⊦ mon<(nσ) ∧ ⌜min(nσ, n)⌝ < # nσ → (nσ[min(nσ, n)] < n ↔ false);% ⊦ m ≤ n ↔ ¬ n < m; (ss) Used terms: nσ, n