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Proof step 2 from proof append-split (previous step)

# σ = # σ1, σ + σ0 = σ1 + σ2, finp(σ) ⊦ σ = σ1 ∧ σ0 = σ2

User applied rule structural induction

And obtained the following new goals

Proof step 3:
# ⌜x⌝ = # σ1, ⌜x⌝ + σ0 = σ1 + σ2, finp(⌜x⌝ ) ⊦ ⌜x⌝ = σ1 ∧ σ0 = σ2

Rule argument

indvar: σ

Additional information

Used simplifier rules: size-inf: ⊦ # ⌜nf⌝ = ∞;%append-inf: ⊦ ⌜nf⌝ + σ = ⌜nf⌝ ;%append-assoc: ⊦ (σ + σ1) + σ2 = σ + σ1 + σ2;%stream freely generated by ⌜ ⌝, ⌜ ⌝;;%test-01: ⊦ ¬ finp(⌜nf⌝ ); from specification stream-basic