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Proof step 5 from proof rm-notin-01 (previous step)

rmdup(x) = y + a ' + z, a ∈ rmdup(x) ⊦ a ∈ x

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ a ∈ rmdup(x) ↔ a ∈ x

Rule argument

spec: <toplevel> name: rm-in-02 seq: ⊦ a ∈ rmdup(x) ↔ a ∈ x subst: [x, a] → [x, a] flags: <all paths>

Additional information

Used terms: x, a