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Theorem setequal-def
⊦ x ≡ y ↔ ¬ ¬(x ⊆ y ∧ y ⊆ x)
Type: An axiom
Validity: The proof is valid.
Features: localsimp,
Comment:
Used by:
elem-setequal
,
elem-setequal2
,
ext-setequal
,
setequal-refl
,
setequal-subset-trans1
,
setequal-subset-trans2
,
setequal-sym
,
setequal-trans
,
setequal-trans2
,
setequal-trans3
,
subset-setequal-trans1
,
subset-setequal-trans2
,
swap-init-setequal
,
Used by units in proved state:
Proof exists?: No