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Proof step 3 from proof perm-shift-out2 (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: inst: name: trans seq: ⊦ perm(x, y) ∧ perm(y, z) → perm(x, z) subst: [y, z, x] → [y + a ' + z, y + z + a ', x] flags: rewrite, current

Additional information

Used simplifier rules: app: ⊦ perm(x + y, x + z) ↔ perm(y, z);%app-02: ⊦ perm(x + y, z + x) ↔ perm(y, z);%ref: ⊦ perm(x, x);%a: ⊦ (x + y) + z = x + y + z; from specification list Used terms: y + a ' + z, y + z + a ', x