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Proof step 1 from proof insperm-02 (conclusion)

⊦ perm(ins≤(a, x + y), ins≤(a, x) + y)

User applied rule structural induction

And obtained the following new goals

Proof step 2:
⊦ perm(ins≤(a, [] + y), ins≤(a, []) + y)
Proof step 5:
∀ a, y. perm(ins≤(a, x0 + y), ins≤(a, x0) + y) ⊦ perm(ins≤(a, (a0 + x0) + y), ins≤(a, a0 + x0) + y)

Rule argument

indvar: x

Additional information

Used simplifier rules: list freely generated by [], +;;