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Theorem una
⊦ (s ∪ s0) ∪ s1 = s ∪ s0 ∪ s1
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
diff-int-01
,
diff-subset
,
diff-supset-empty
,
diff-union
,
diff-union-01
,
diff-union-02
,
diff-union-03
,
intu-empty
,
k-union-base
,
k-union-rec1
,
k-union-rec2
,
rem-union-ins
,
size-union
,
sub-union
,
sub-union-01
,
sub-union-02
,
sub-union-03
,
sub-union-04
,
sub-union-05
,
subset-is-union
,
unadd
,
unadd-01
,
unall
,
unc
,
undel
,
undel-01
,
undel-02
,
undel-03
,
undel-04
,
undel-06
,
une
,
une-01
,
uneq
,
unidem
,
unin
,
unin-01
,
unindel
,
uninsert
,
uninsubdel
,
union-del
,
union-diff
,
union-diff-union-same
,
union-difference
,
union-inter-inter-union
,
union-one
,
union-rem-add
,
union-rem-unchdg
,
union-rewone
,
union-size
,
union-size-01
,
union-size-02
,
union-size-03
,
union-size-insert
,
union-size-le
,
union-sizeeq
,
union-sizele
,
union-sub
,
union-sub-01
,
union-subset
,
union-subset-01
,
union-subset-02
,
union-subset-03
,
union-subset-04
,
union-subset-05
,
union-subseteq-union-same
,
unsub
,
unsub-union-01
,
unsubdel
,
unsubdel-01
,
unsubins
,
unsubins-01
,
unsubsub
,
Used by units in proved state:
oset
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 0
Proof steps: 1
Used lemmas:
unrax
,
Used spec theorems:
Used simplifier rules:
set-basic
/
Extension