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Theorem indef-01

⊦ a ∈ st ↔ st = (st -- a)[a, st[a]]

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

View the proof

Infos about the proof

Proved?: Yes
Interactions: 1
Proof steps: 3
Used lemmas: In-insert, At-same, notmemlookup, notin-del-notin, ins-same-01, del-put, Extension,
Used spec theorems:
- Used simplifier rules: