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Proof step 3 from proof elim-hd-tl (previous step)

⊦ σ = ⌜hd(σ) '⌝ + tl(σ), σ = []

User applied rule structural induction

And obtained the following new goals

Proof step 4:
⊦ ⌜x⌝ = [], ⌜x⌝ = ⌜hd(⌜x⌝ ) '⌝ + tl(⌜x⌝ )
Proof step 6:
⊦ ⌜nf⌝ = [], ⌜nf⌝ = ⌜hd(⌜nf⌝ ) '⌝ + tl(⌜nf⌝ )

Rule argument

indvar: σ

Additional information

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