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Proof step 2 from proof get-cons-succ (previous step)

⊦ (⌜a '⌝ + ⌜nf⌝ )[n + 1] = ⌜nf⌝ [n]

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
⊦ (⌜a '⌝ + ⌜nf⌝ )[n + 1] = nf(n)

Rule argument

Additional information

Used simplifier rules: sel-inf: ⊦ ⌜nf⌝ [n] = nf(n);