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Theorem union
⊦ count(a, bag0 ∪ bag1) = count(a, bag0) + count(a, bag1)
Type: A user defined theorem
Validity: The proof is valid.
Features: localsimp,
Comment:
Used by:
in-union
,
union-ass
,
union-com
,
union-diff-cancel
,
union-diff-distr
,
union-inj
,
union-subset
,
union-subset-inj
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 2
Proof steps: 7
Used lemmas:
union-rec
,
union-empty
,
Used spec theorems:
bag-basic
/
count-other
Used simplifier rules:
bag-basic
/
count-empty
nat-basic2
/
add-base
nat-basic2
/
c
nat-basic2
/
eq-01
nat-basic2
/
a
bag-basic
/
count-same
bag-basic
/
count-other