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Theorem subset
⊦ x ⊆ y ↔ (∀ a. a ∈ x → a ∈ y)
Type: An axiom
Validity: The proof is valid.
Features:
Comment:
Used by:
diff-empty-sub
,
rmdup
,
rmdup-01
,
size-le
,
size-nle
,
sub-04
,
sub-05
,
sub-06
,
sub-07
,
sub-notin
,
sub-size-02
,
suband
,
subset-app
,
subset-app-01
,
subset-app-02
,
subset-app-03
,
subset-app-04
,
subset-append
,
subset-append-01
,
subset-append-02
,
subset-del
,
subset-diff-union
,
subset-empty
,
subset-empty-01
,
subset-insert
,
subset-one
,
subset-perm
,
subset-rec
,
subset-ref
,
subset-trans
,
Used by units in proved state:
list-perm
,
list-setequal
,
Proof exists?: No