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Theorem ar-elems-append
⊦ (ar0 + ar1) .elems = ar0 .elems ∪ ar1 .elems
Type: A user defined theorem
Validity: The proof is valid.
Features: simp,
Comment:
Used by:
ar-elems-extract1
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 3
Proof steps: 5
Used lemmas:
elems-base
,
ar-elems-append-not-lower-h
,
ar-elems-append-lower-h
,
elems
,
Used spec theorems:
Used simplifier rules:
bag-union
/
union-inj
nat
/
eq-01
nat
/
ax-02
nat
/
lels
nat
/
lep-02
nat
/
lels-01
nat-basic1
/
ref-1
nat
/
le-add
nat-basic2
/
a
nat-basic2
/
c
nat-basic2
/
ax-08
bag-union
/
union-empty
bag-union
/
union-ass
bag-union
/
union-com
array-splice
/
append-a
array-splice
/
append-len