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Proof step 4 from proof refs-equal-in (previous step)

st .refs = st0 .refs, r ∈ st ⊦ r ∈ st0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ r ∈ st ↔ r ∈ st .refs
Proof step 2:
⊦ st .refs = ∅ ↔ st = ∅
Proof step 3:
⊦ ¬ r ∈ st → ¬ r ∈ st .refs

Rule argument

[crewrite-arg: instore-inrefs, F, [st, r] → [st, r]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ r ∈ rset → rset ≠ ∅])], [EXTRATERMS : (st, r)]]