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Theorem int-rax
⊦ a ∈ s1 ∩ s2 ↔ ¬ ¬(a ∈ s1 ∧ a ∈ s2)
Type: A user defined theorem
Validity: The proof is valid.
Features: localsimp,
Comment:
Used by:
add-inter-rem
,
int-a
,
int-c
,
int-del-rew
,
int-empty-01
,
int-empty-02
,
int-eq
,
int-inserte
,
int-subs01
,
intdel-empty
,
intersect-add-rem
,
intersection-insert
,
intersection-shift
,
intexin
,
intu-empty
,
k-intersect-rec1
,
k-intersect-rec2
,
rem-inter-empty3
,
size-union
,
subset-is-union
,
subseteq-inter-empty-empty
,
union-inter-inter-union
,
Used by units in proved state:
Proof exists?: Yes
View
the proof
Infos about the proof
Proved?: Yes
Interactions: 0
Proof steps: 1
Used lemmas:
Intersect
,
Used spec theorems:
Used simplifier rules: