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Theorem In-insert
⊦ a ∈ s ++ b ↔ a = b ∨ a ∈ s
Type: An axiom
Validity: The proof is valid.
Features: s, ls,
Comment:
Used by:
add
,
add-01
,
addthree
,
addtwo
,
eq
,
eq-01
,
eq-02
,
eq-03
,
eq-04
,
eqtwo
,
eqtwo-01
,
in-02
,
in-05
,
ins-two
,
ne
,
sub-add
,
sub-add-01
,
sub-add-02
,
sub-add-03
,
sub-add-04
,
sub-insert
,
subset
,
subset-ins
,
sw-01
,
two
,
Used by units in proved state:
infset-union
,
Proof exists?: No