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Proof step 4 from proof to-succ-cons (previous step)

⊦ ⌜a '⌝ + ⌜nf⌝ to n + 1 = ⌜a '⌝ + ⌜nf to n⌝

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ ⌜a '⌝ + ⌜nf⌝ = ⌜λ n. (n = 0 ⊃ a;nf(n -1))⌝
Proof step 6:
⊦ ⌜λ n. (n = 0 ⊃ a;nf(n -1))⌝ to n + 1 = ⌜a '⌝ + ⌜nf to n⌝

Rule argument

spec: stream inst: name: one-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