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Proof step 3 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 4
:
⊦ a ∈ st ↔ a ∈ st.keys
Proof step 5
:
st.keys = ∅, a ∈ st.keys ⊦ a < st.min
Rule argument
spec: <toplevel> name: inkeys seq: ⊦ a ∈ st ↔ a ∈ st.keys subst: [st, a] → [st, a] flags: <all paths>
Additional information
Used terms: st, a