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Theorem butmin-put-01
⊦ a = st[a, d0].min ∧ ¬ a ∈ st → st[a, d].butmin = st
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
butmin-put-02
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 6
Proof steps: 14
Used lemmas:
insert-03
,
min-def
,
min-put-01
,
Butmin
,
Used spec theorems:
store
/
Extension
store
/
Del-at
Used simplifier rules:
store
/
lookupisempty
store
/
notmemlookup
store
/
At-same
store
/
neq
store
/
At-other
store
/
insert
store
/
notin-del-notin