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Proof step 6 from proof append-empty-01 (previous step)

⌜x⌝ + ⌜x0⌝ = [] ⊦ x = [] ∧ x0 = []

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 7:
⊦ ⌜x + y⌝ = ⌜x⌝ + ⌜y⌝
Proof step 8:
⌜x + x0⌝ = [] ⊦ x = [] ∧ x0 = []

Rule argument

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

Additional information

Used terms: x0, x