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Proof step 52 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 1:
⊦ r =>_ = _∃ λ ce. r => ce

Rule argument

[x0lemmaarg: spec-name: maplet instance-name: cell-heap-aux lemma-name: mapex antecedent: succedent: r =>_ = _∃ λ ce. r => ce substlist: [r] → [r] add preconditions?: F is rewrite lemma?: T current spec?: F rotate lemma?: F replace all?: T paths: ((1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1)) dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (r)]]