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Theorem Delete
⊦ a ∈ s -- b ↔ a ≠ b ∧ a ∈ s
Type: An axiom
Validity: The proof is valid.
Features: simp, localsimp, nokodkodax,
Comment:
Used by:
del-in-01
,
del-in-02
,
del-notin
,
del-rax
,
del-three
,
delete-insert
,
delete-subset
,
diff-del-minus
,
diff-del-minus-2
,
diff-del-minus-3
,
equal-add-in
,
insdel-sub
,
int-del-rew
,
intdel-empty
,
intersect-add-rem
,
k-delete-rec
,
k-intersect-rec1
,
k-intersect-rec2
,
rem-union-ins
,
subset-is-union
,
subseteq-rem-del
,
union-rem-add
,
Used by units in proved state:
oset
,
Proof exists?: No