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Proof step 5 from proof get-append-ls (previous step)

m < # x ⊦ (⌜x⌝ + ⌜nf⌝ )[m] = x[m], x = []

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ ⌜x⌝ + ⌜nf⌝ = ⌜λ n. (n < # x ⊃ x[n];nf(n - # x))⌝

Rule argument

spec: stream inst: name: append-fininf seq: ⊦ ⌜x⌝ + ⌜nf⌝ = ⌜λ n. (n < # x ⊃ x[n];nf(n - # x))⌝ subst: [nf, x] → [nf, x] flags: rewrite, current

Additional information

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