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Theorem size-del-02

⊦ a ∈ st → ¬ # st.keys ≤ # (st -- a).keys

Type: A user defined theorem
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 2
Proof steps: 5
Used lemmas: empty-02, del-01, Keys, inf, Min-min,
Used spec theorems:
- set-union/del-size
Used simplifier rules: