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

⊦ (⌜x⌝ + ⌜x0⌝ ) + σ2 = ⌜x⌝ + ⌜x0⌝ + σ2

User applied rule structural induction

And obtained the following new goals

Proof step 4:
⊦ (⌜x⌝ + ⌜x0⌝ ) + ⌜x1⌝ = ⌜x⌝ + ⌜x0⌝ + ⌜x1⌝
Proof step 8:
⊦ (⌜x⌝ + ⌜x0⌝ ) + ⌜nf⌝ = ⌜x⌝ + ⌜x0⌝ + ⌜nf⌝

Rule argument

indvar: σ2

Additional information

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