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Proof step 15 from proof Data-in-putdelput (previous step)

d0 ∈ (st[b, d1] -- a)[c, d2] ⊦ d0 = d1, d0 = d2, d0 ∈ st

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ d ∈ st ↔ (∃ a. a ∈ st ∧ st[a] = d)

Rule argument

spec: inst: name: Data-in seq: ⊦ d ∈ st ↔ (∃ a. a ∈ st ∧ st[a] = d) subst: [st, d] → [(st[b, d1] -- a)[c, d2], d0] flags: rewrite, current

Additional information

[Concretesimprules(()), Extraterms(((st[b, d1] -- a)[c, d2]d0))]