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Proof step 12 from proof extensionality (previous step)

∞ = # ⌜nf0⌝ , ∀ n. nf(n) = ⌜nf0⌝ [n] ⊦ ⌜nf⌝ = ⌜nf0⌝

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

Additional information

Used simplifier rules: size-inf: ⊦ # ⌜nf⌝ = ∞;%sel-inf: ⊦ ⌜nf⌝ [n] = nf(n);%inj-01: ⊦ ⌜nf⌝ = ⌜nf0⌝ ↔ nf = nf0; from specification stream-basic