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Proof step 6 from proof sperm (previous step)

perm(x, sort(x)), perm(y, sort(y)) ⊦ sort(x) = sort(y) ↔ perm(x, y)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 7:
perm(x, sort(x)), perm(y, sort(y)) ⊦ sort(x) = sort(y) ↔ perm(x, y)

Rule argument

Additional information

Used simplifier rules: perm: ⊦ perm(sort(x), y) ↔ perm(x, y);% ⊦ perm(x, x); (s)%sym-01: ⊦ perm(x, y) → perm(y, x); (forward) from specification list-perm