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Proof step 7 from proof perm-mklist (previous step)

perm(x -1l a, mklist(a, n0)), perm(mklist(a, n0), x -1l a), a ∈ x, perm(x -1l a, mklist(a, n0)) → x -1l a = mklist(a, n0) ⊦ x = a ' + mklist(a, n0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
x -1l a = mklist(a, n0), a ∈ x ⊦ x = a ' + mklist(a, n0)

Rule argument

Additional information

Used simplifier rules: ref: ⊦ perm(x, x);