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Proof step 6 from proof cons-append (previous step)

⊦ a + ⌜nf⌝ = ⌜a '⌝ + ⌜nf⌝

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 7:
⊦ a + ⌜nf⌝ = ⌜λ n. (n = 0 ⊃ a;nf(n -1))⌝
Proof step 8:
⊦ ⌜λ n. (n = 0 ⊃ a;nf(n -1))⌝ = ⌜a '⌝ + ⌜nf⌝

Rule argument

spec: stream inst: name: cons-inf seq: ⊦ a + ⌜nf⌝ = ⌜λ n. (n = 0 ⊃ a;nf(n -1))⌝ subst: [nf, a] → [nf, a] flags: rewrite, current

Additional information

Used terms: nf, a