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Proof step 6 from proof cf-map-unknown (previous step)

cf(r) = a × r0 ⊦ (∃ ce. (o[r => ce] * R)[rs, cf, af]) ↔ (o[r => a × r0] * R)[rs, cf, af]

User applied rule case distinction

And obtained the following new goals

Proof step 7:
cf(r) = a × r0, ∃ ce. (o[r => ce] * R)[rs, cf, af] ⊦ (o[r => a × r0] * R)[rs, cf, af]
Proof step 54:
cf(r) = a × r0, (o[r => a × r0] * R)[rs, cf, af] ⊦ ∃ ce. (o[r => ce] * R)[rs, cf, af]

Rule argument

pos: right 1

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