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Proof step 7 from proof append-split (previous step)

# x = # x0, ⌜x⌝ + σ0 = ⌜x0⌝ + σ2 ⊦ x = x0 ∧ σ0 = σ2

User applied rule structural induction

And obtained the following new goals

Proof step 8:
# x = # x0, ⌜x⌝ + σ0 = ⌜x0⌝ + ⌜x1⌝ ⊦ x = x0 ∧ σ0 = ⌜x1⌝
Proof step 9:
# x = # x0, ⌜x⌝ + σ0 = ⌜x0⌝ + ⌜nf⌝ ⊦ x = x0 ∧ σ0 = ⌜nf⌝

Rule argument

indvar: σ2

Additional information

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