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Proof step 5 from proof papp-03 (previous step)

perm(x + y, x0 + y0), perm(x, x0), perm(x0, x), perm(x0 + y0, x + y) ⊦ perm(x + y, x + y0), perm(y, y0)

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] → [x0 + y0, x + y0, x + y] flags: rewrite, current

Additional information

Used simplifier rules: app: ⊦ perm(x + y, x + z) ↔ perm(y, z);%app-01: ⊦ perm(x + y, z + y) ↔ perm(x, z);%a: ⊦ (x + y) + z = x + y + z; from specification list Used terms: x0 + y0, x + y0, x + y