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Proof step 2 from proof notempty (previous step)

st.keys = ∅, a ∈ st ⊦ a < st.min

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 3:
⊦ a ∈ st ↔ a ∈ st.keys
Proof step 4:
st.keys = ∅, a ∈ st.keys ⊦ a < st.min

Rule argument

spec: ostore inst: name: inkeys seq: ⊦ a ∈ st ↔ a ∈ st.keys subst: [st, a] → [st, a] flags: rewrite, current

Additional information

Used terms: st, a