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Proof step 7 from proof perm-rmv-in-list (previous step)

⊦ perm((a ' + y0) + x0, (a ' + y) + x) ↔ perm(x + y, x0 + y0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
⊦ perm(y0 + x0, y + x) ↔ perm(x + y, x0 + y0)

Rule argument

Additional information

Used simplifier rules: cons: ⊦ perm(a ' + x, a ' + y) ↔ perm(x, y);%a: ⊦ (x + y) + z = x + y + z; from specification list