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Proof step 7 from proof mklist-rmdup-01 (previous step)

∀ a. rmdup(mklist(a, n0)) = a ' ⊦ n0 = 0, rmdup(a ' + mklist(a, n0)) = a '

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 8:
⊦ rmdup(a ' + x) = (a ∈ x ⊃ rmdup(x);a ' + rmdup(x))
Proof step 9:
∀ a. rmdup(mklist(a, n0)) = a ' ⊦ n0 = 0, (a ∈ mklist(a, n0) ⊃ rmdup(mklist(a, n0));a ' + rmdup(mklist(a, n0))) = a '

Rule argument

spec: list-dup inst: name: rm-ifrec seq: ⊦ rmdup(a ' + x) = (a ∈ x ⊃ rmdup(x);a ' + rmdup(x)) subst: [x, a] → [mklist(a, n0), a] flags: rewrite

Additional information

Used terms: mklist(a, n0), a