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Proof step 2 from proof perm-com2 (previous step)

perm(x, y + z), perm(y + z, x) ⊦ perm(x, z + y)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ perm(x + x0, y) ↔ perm(x0 + x, y)

Rule argument

spec: inst: name: shift-02 seq: ⊦ perm(x + x0, y) ↔ perm(x0 + x, y) subst: [y, x0, x] → [x, z, y] flags: rewrite, current

Additional information

Used simplifier rules: sym-02: ⊦ ¬ perm(x, y) → ¬ perm(y, x); Used terms: x, z, y