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Theorem elems-in-notin-ginval
⊦ n ∈ nx ∧ elems nx ∩ ns = ∅ → ¬ n ∈ ns
Type: A user defined theorem
Validity: The proof is valid.
Features: forward, localforward,
Comment:
Used by:
fwd-in-log-in-gstore
,
Used by units in proved state:
persistence-refine
,
apersistence-asm
,
persistence-base
,
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 2
Proof steps: 5
Used lemmas:
elems-def
,
Used spec theorems:
set-basic
/nat-set/
Extension
Used simplifier rules:
set-basic
/nat-set/
size-zero-01
set-basic
/nat-set/
ne-01
set-basic
/nat-set/
In-empty
set-union
/nat-set/
Intersect
set-union
/nat-set/
int-a
set-union
/nat-set/
int-c