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Proof step 18 from proof cf-map-unknown (previous step)

cf(r) = a × r0, rs1 ∩ rs0 = ∅, o[r => ce][rs1, cf, af], R[rs0, cf, af] ⊦ (o[r => a × r0] * R)[rs1 ∪ rs0, cf, af], ((r => a × r0))(mk(rs1, cf)) ∧ (∀ r. r ∈ rs1 → af(r) = o)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 19:
cf(r) = a × r0, rs1 ∩ rs0 = ∅, R[rs0, cf, af], o[r => ce][rs1, cf, af] ⊦ (o[r => a × r0] * R)[rs1 ∪ rs0, cf, af], ((r => a × r0))(mk(rs1, cf)) ∧ (r1 ∈ rs1 → af(r1) = o)

Proof step 18 from proof cf-map-unknown (previous step)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Rule argument

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