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Proof step 3 from proof inv-ls-notleq (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ m ≤ n ↔ ¬ n < m
Proof step 5:
⌜n⌝ + ⌜1⌝ < leninv(nσ), stutf(nσ) ⊦ inv(nσ)[n] < inv(nσ)[n + 1]

Rule argument

spec: nat name: le-def seq: ⊦ m ≤ n ↔ ¬ n < m subst: [n, m] → [inv(nσ)[n], inv(nσ)[n + 1]] flags: <all paths>

Additional information

Used terms: inv(nσ)[n], inv(nσ)[n + 1]