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Proof step 3 from proof cf-map-unknown (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ r =>_ = _∃(λ ce. r => ce)
Proof step 5:
cf(r) = a × r0 ⊦ (o[_∃(λ ce. r => ce)] * R)[rs, cf, af] ↔ (o[r => a × r0] * R)[rs, cf, af]

Rule argument

spec: maplet, inst: cell-heap-aux name: mapex seq: ⊦ r =>_ = _∃(λ ce. r => ce) subst: [r] → [r] flags: <all paths>

Additional information

Used terms: r