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Theorem firstN
⊦ list2set(x) ∩ s = ∅ ∧ n < # x → list2set(firstn(n, x)) ∩ s = ∅
Type: A user defined theorem
Validity: The proof is valid.
Features: simp, localsimp,
Comment:
Used by:
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 1
Proof steps: 5
Used lemmas:
list2set-rec
,
list2set-empty
,
Used spec theorems:
Used simplifier rules:
nat
/
fle
nat
/
fle-01
nat-basic1
/
ref-1
set-basic
/
Size-empty
set-union
/
int-empty
set-union
/
int-inse
nat-basic2
/
l
list
/
len-02
list
/
len
list
/
e-01
list-data
/
elim-list-c
set-basic
/
size-zero
list-data
/
l
set-basic
/
size-zero-01
nat-basic1
/
f
nat
/
lels
list
/
a
nat-basic2
/
c
nat-basic2
/
a
list
/
c
list-del
/
firstN-rec
nat-basic2
/
succ
list-del
/
firstN-zero
set-union
/
int-e
set-union
/
int-a
set-union
/
int-c