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Proof step 2 from proof expand-cons (previous step)

⊦ σ = [], ∃ a, σ0. σ = ⌜a '⌝ + σ0

User applied rule structural induction

And obtained the following new goals

Proof step 3:
⊦ ⌜x⌝ = [], ∃ a, σ0. ⌜x⌝ = ⌜a '⌝ + σ0
Proof step 7:
⊦ ⌜nf⌝ = [], ∃ a, σ0. ⌜nf⌝ = ⌜a '⌝ + σ0

Rule argument

indvar: σ

Additional information

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