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Proof step 5 from proof perm-rmv-in-list (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ perm(x + x0, y) ↔ perm(x0 + x, y)
Proof step 7:
⊦ perm((a ' + y0) + x0, (a ' + y) + x) ↔ perm(x + y, x0 + y0)

Rule argument

spec: inst: name: shift-02 seq: ⊦ perm(x + x0, y) ↔ perm(x0 + x, y) subst: [y, x0, x] → [(a ' + y) + x, a ' + y0, x0] flags: rewrite, current

Additional information

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