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

⊦ (⌜x⌝ + σ1) + σ2 = ⌜x⌝ + σ1 + σ2

User applied rule structural induction

And obtained the following new goals

Proof step 3:
⊦ (⌜x⌝ + ⌜x0⌝ ) + σ2 = ⌜x⌝ + ⌜x0⌝ + σ2
Proof step 24:
⊦ (⌜x⌝ + ⌜nf⌝ ) + σ2 = ⌜x⌝ + ⌜nf⌝ + σ2

Rule argument

indvar: σ1

Additional information

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