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Proof step 1 from proof one (conclusion)

⊦ sort(a ') = a '

User applied rule insert lemma

And obtained the following new goals

Proof step 2:
⊦ sort(a ' + x) = ins≤(a, sort(x))

Rule argument

spec: olist-sort inst: name: rec seq: ⊦ sort(a ' + x) = ins≤(a, sort(x)) subst: [a, x] → [a, []] flags: current, []

Additional information

Used simplifier rules: empty: ⊦ sort([]) = [];%app: ⊦ x + [] = x; from specification list%a: ⊦ (x + y) + z = x + y + z; from specification list%ins-e: ⊦ ins≤(a, []) = a '; from specification olist Used terms: a, []