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Theorem insert

⊦ a ∈ st → st[a, d].keys = st.keys

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 0
Proof steps: 1
Used lemmas: inkeys-01, insert-03,
Used spec theorems:
- Used simplifier rules:
  - set-basic/eq-03