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Proof step 2 from proof append-cancel-l (previous step)

⌜x⌝ + σ0 = ⌜x⌝ + σ1 ⊦ σ0 = σ1

User applied rule structural induction

And obtained the following new goals

Proof step 3:
⌜x⌝ + ⌜x0⌝ = ⌜x⌝ + σ1 ⊦ ⌜x0⌝ = σ1
Proof step 4:
⌜x⌝ + ⌜nf⌝ = ⌜x⌝ + σ1 ⊦ ⌜nf⌝ = σ1

Rule argument

indvar: σ0

Additional information

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