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Proof step 3 from proof perm-rmv-in-list (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ perm(x, y) ↔ perm(y, x)
Proof step 5:
⊦ perm(x0 + a ' + y0, (a ' + y) + x) ↔ perm(x + y, x0 + y0)

Rule argument

spec: inst: name: sym seq: ⊦ perm(x, y) ↔ perm(y, x) subst: [y, x] → [x0 + a ' + y0, (a ' + y) + x] flags: rewrite, current

Additional information

Used terms: x0 + a ' + y0, (a ' + y) + x