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Proof step 5 from proof del (previous step)

a ∈ x ⊦ x ⊆m a ' + y ∧ a ' + y ⊆m x ↔ perm(x -1l a, y)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 6:
a ∈ x ⊦ x ⊆m a ' + y ∧ y ⊆m x -1l a ↔ perm(x -1l a, y)

Rule argument

Additional information

Used simplifier rules: subrec: ⊦ a ' + x ⊆m y ↔ ¬ ¬(a ∈ y ∧ x ⊆m y -1l a);%a: ⊦ (x + y) + z = x + y + z; from specification list