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Theorem Difference
⊦ a ∈ s1 \ s2 ↔ a ∈ s1 ∧ ¬ a ∈ s2
Type: An axiom
Validity: The proof is valid.
Features: simp, localsimp, nokodkodax,
Comment:
Used by:
diff-add-del
,
diff-add-del-01
,
diff-del
,
diff-del-01
,
diff-del-02
,
diff-del-minus
,
diff-del-minus-2
,
diff-del-minus-3
,
diff-del-plus-1
,
diff-del-plus-2
,
diff-diff-right
,
diff-e
,
diff-e-01
,
diff-empty
,
diff-idem
,
diff-int
,
diff-int-01
,
diff-nin
,
diff-one
,
diff-rc
,
diff-sub
,
diff-sub-size
,
diff-subset
,
diff-subset-01
,
diff-supset-empty
,
diff-union
,
diff-union-01
,
diff-union-02
,
diff-union-03
,
empty-intersection-diff
,
k-diff-rec1
,
rem-inter-empty3
,
selsub-diff
,
subseteq-rem-del
,
union-diff
,
union-diff-union-same
,
union-difference
,
Used by units in proved state:
oset
,
store+set
,
Proof exists?: No