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Proof step 5 from proof ex-lst-shift (previous step)

rs1 ∩ rs0 = ∅, o[_∃ xv][rs1, cf, af], R[rs0, cf, af] ⊦ ∃ x. (o[xv(x)] * R)[rs1 ∪ rs0, cf, af]

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ R[rs, cf, af] ↔ R(mk(rs, cf, af))
Proof step 7:
rs1 ∩ rs0 = ∅, R[rs0, cf, af], o[_∃ xv](mk(rs1, cf, af)) ⊦ ∃ x. (o[xv(x)] * R)[rs1 ∪ rs0, cf, af]

Rule argument

spec: heap-fun, inst: cell-heap-aux-heap-aux name: apply seq: ⊦ R[rs, cf, af] ↔ R(mk(rs, cf, af)) subst: [af, cf, rs, R] → [af, cf, rs1, o[_∃ xv]] flags: <all paths>

Additional information

Used terms: af, cf, rs1, o[_∃ xv]