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Theorem Subset
⊦ s1 ⊆ s2 ↔ (∀ a. a ∈ s1 → a ∈ s2)
Type: An axiom
Validity: The proof is valid.
Features:
Comment:
Used by:
sub-add
,
sub-add-01
,
sub-add-03
,
sub-add-04
,
sub-e
,
sub-idem
,
sub-in
,
sub-insert
,
sub-one-01
,
sub-trans
,
subset-empty
,
subset-equal
,
subset-insert
,
subset-insert-01
,
subset-insert-02
,
subset-insert-03
,
subset-insert-04
,
subset-insert-05
,
subset-insert-06
,
subsize-eq
,
Used by units in proved state:
set-union
,
oset
,
Proof exists?: No