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Proof step 4 from proof append-empty-01 (previous step)

⌜x⌝ + σ1 = [] ⊦ x = [] ∧ σ1 = []

User applied rule structural induction

And obtained the following new goals

Proof step 5:
⌜x⌝ + ⌜x0⌝ = [] ⊦ x = [] ∧ ⌜x0⌝ = []
Proof step 12:
⌜x⌝ + ⌜nf⌝ = [] ⊦ x = [] ∧ ⌜nf⌝ = []

Rule argument

indvar: σ1

Additional information

Used simplifier rules: stream freely generated by ⌜ ⌝, ⌜ ⌝;;