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Proof step 1 from proof empty-append (conclusion)

⊦ [] + σ = σ

User applied rule structural induction

And obtained the following new goals

Proof step 2:
⊦ [] + ⌜x⌝ = ⌜x⌝
Proof step 6:
⊦ [] + ⌜nf⌝ = ⌜nf⌝

Rule argument

indvar: σ

Additional information

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