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Theorem del-01

⊦ a ∈ st.keys → (st -- a).keys = st.keys -- a

Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by: size-del, size-del-01, size-del-02,
Used by units in proved state:
Proof exists?: Yes

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 2
Used lemmas: inkeys-01, del, inf, Min-min, Keys,
Used spec theorems:
- set-basic/Extension
Used simplifier rules:
- set-union/del-rax
- store/Del-in