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Proof step 3 from proof append-split (previous step)

# ⌜x⌝ = # σ1, ⌜x⌝ + σ0 = σ1 + σ2, finp(⌜x⌝ ) ⊦ ⌜x⌝ = σ1 ∧ σ0 = σ2

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
⌜x⌝ + σ0 = σ1 + σ2, ⌜# x⌝ = # σ1 ⊦ ⌜x⌝ = σ1 ∧ σ0 = σ2

Rule argument

Additional information

Used simplifier rules: size-fin: ⊦ # ⌜x⌝ = ⌜# x⌝ ;%test-02: ⊦ finp(⌜x⌝ ); from specification stream-basic