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Proof step 1 from proof ex-lst-shift (conclusion)

⊦ (o[_∃ xv] * R)[rs, cf, af] ↔ (∃ x. (o[xv(x)] * R)[rs, cf, af])

User applied rule case distinction

And obtained the following new goals

Proof step 2:
(o[_∃ xv] * R)[rs, cf, af] ⊦ ∃ x. (o[xv(x)] * R)[rs, cf, af]
Proof step 21:
∃ x. (o[xv(x)] * R)[rs, cf, af] ⊦ (o[_∃ xv] * R)[rs, cf, af]

Rule argument

pos: right 1

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