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Proof step 5 from proof mk-elem (previous step)

a ∈ mklist(b, n0 + 1), ∀ a, b. a ∈ mklist(b, n0) → a = b ⊦ a = b

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ mklist(a, n + 1) = a ' + mklist(a, n)
Proof step 7:
a ∈ b ' + mklist(b, n0), ∀ a, b. a ∈ mklist(b, n0) → a = b ⊦ a = b

Rule argument

spec: <toplevel> name: mk-succ seq: ⊦ mklist(a, n + 1) = a ' + mklist(a, n) subst: [n, a] → [n0, b] flags: <all paths>

Additional information

Used terms: n0, b