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Proof step 3 from proof map-in0 (previous step)

a[r => o][rs, f, g] ⊦ r ∈ rs

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ R[rs, f, g] ↔ R(mk(rs, f, g))
Proof step 5:
a[r => o](mk(rs, f, g)) ⊦ r ∈ rs

Rule argument

spec: heap-fun, inst: heap-aux name: apply seq: ⊦ R[rs, f, g] ↔ R(mk(rs, f, g)) subst: [g, f, rs, R] → [g, f, rs, a[r => o]] flags: <all paths>

Additional information

Used terms: g, f, rs, a[r => o]