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Proof step 4 from proof inv-ls-notleq (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ stutf(nσ) ∧ ⌜n⌝ + ⌜1⌝ < leninv(nσ) → inv(nσ)[n] < inv(nσ)[n + 1]

Rule argument

spec: inst: name: inv-ls-succ seq: ⊦ stutf(nσ) ∧ ⌜n⌝ + ⌜1⌝ < leninv(nσ) → inv(nσ)[n] < inv(nσ)[n + 1] subst: [n, nσ] → [n, nσ] flags: rewrite, current

Additional information

Used simplifier rules: lels: ⊦ ¬ m < n ↔ n ≤ m; from specification nat Used terms: n, nσ