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Proof step 5 from proof inv-ls-notleq (previous step)

⌜n⌝ + ⌜1⌝ < leninv(nσ), stutf(nσ) ⊦ inv(nσ)[n] < inv(nσ)[n + 1]

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: <toplevel> name: inv-ls-succ seq: ⊦ stutf(nσ) ∧ ⌜n⌝ + ⌜1⌝ < leninv(nσ) → inv(nσ)[n] < inv(nσ)[n + 1] subst: [n, nσ] → [n, nσ] flags: <all paths>

Additional information

Used simplifier rules: ⊦ m < n ↔ ¬ n ≤ m; (ss) Used terms: n, nσ