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Proof step 3 from proof eq-stream-to-list-3-3 (previous step)

⊦ ⌜x1⌝ + ⌜x + y⌝ = ⌜x2⌝ + ⌜x0⌝ + ⌜z⌝ ↔ x1 + x + y = x2 + x0 + z

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ ⌜x + y⌝ = ⌜x⌝ + ⌜y⌝
Proof step 5:
⊦ ⌜x1⌝ + ⌜x + y⌝ = ⌜x2⌝ + ⌜x0 + z⌝ ↔ x1 + x + y = x2 + x0 + z

Rule argument

spec: stream inst: name: append-finfin seq: ⊦ ⌜x + y⌝ = ⌜x⌝ + ⌜y⌝ subst: [y, x] → [z, x0] flags: rewrite, current

Additional information

Used terms: z, x0