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Proof step 9 from proof append-split (previous step)

⌜x⌝ + ⌜nf0⌝ = ⌜x0⌝ + ⌜nf⌝ , # x = # x0 ⊦ x = x0 ∧ ⌜nf0⌝ = ⌜nf⌝

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 10:
⌜x⌝ + ⌜nf0⌝ = ⌜x0⌝ + ⌜nf⌝ , # x = # x0 ⊦ x = x0 ∧ nf0 = nf

Rule argument

Additional information

Used simplifier rules: inj-01: ⊦ ⌜nf⌝ = ⌜nf0⌝ ↔ nf = nf0; from specification stream-basic