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

perm(y, rev(y)), perm(x, rev(y)) ⊦ perm(x, y)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ perm(x, y) ∧ perm(y, z) → perm(x, z)
Proof step 6:
perm(x, rev(y)), perm(y, rev(y)) ⊦ perm(x, y), perm(x, rev(y)) ∧ perm(rev(y), y)

Rule argument

spec: <toplevel> name: trans seq: ⊦ perm(x, y) ∧ perm(y, z) → perm(x, z) subst: [y, z, x] → [rev(y), y, x] flags: <all paths>

Additional information

Used terms: rev(y), y, x