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Proof step 2 from proof size (previous step)

a ∈ st ⊦ #(st -- a) = # st - 1

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ a ∈ st ↔ st = (st -- a)[a, st[a]]
Proof step 4:
st = (st -- a)[a, st[a]] ⊦ #(st -- a) = # st - 1

Rule argument

spec: store inst: name: indef-01 seq: ⊦ a ∈ st ↔ st = (st -- a)[a, st[a]] subst: [st, a] → [st, a] flags: rewrite, current

Additional information

Used terms: st, a