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Proof step 2 from proof ins-02 (previous step)

ordered≤(x + a ' + y) ⊦ ins≤(a, sort(x + y)) = x + a ' + y

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ sort(a ' + x) = ins≤(a, sort(x))
Proof step 4:
ordered≤(x + a ' + y) ⊦ sort(a ' + x + y) = x + a ' + y

Rule argument

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

Additional information

Used terms: x + y, a