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Proof step 4 from proof perm-01 (previous step)

perm(a ' + sort(x), y), perm(a ' + sort(x), a ' + x) ⊦ perm(a ' + x, y)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ perm(x, y) ↔ perm(y, x)
Proof step 6:
perm(a ' + sort(x), y), perm(a ' + x, a ' + sort(x)) ⊦ perm(a ' + x, y)

Rule argument

spec: list-perm inst: name: sym seq: ⊦ perm(x, y) ↔ perm(y, x) subst: [y, x] → [a ' + x, a ' + sort(x)] flags: rewrite

Additional information

Used terms: a ' + x, a ' + sort(x)