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Theorem Intersect
⊦ a ∈ s1 ∩ s2 ↔ a ∈ s1 ∧ a ∈ s2
Type: An axiom
Validity: The proof is valid.
Features: simp, localsimp, nokodkodax,
Comment:
Used by:
add-inter-rem
,
diff-int
,
diff-int-01
,
int-del-rew
,
int-rax
,
intersect-add-rem
,
intersection-insert
,
intersection-shift
,
intersection-size
,
union-inter-inter-union
,
union-size-03
,
Used by units in proved state:
store+set
,
Proof exists?: No