Database
ZF (ZERMELO-FRAENKEL) SET THEORY
ZF Set Theory - start with the Axiom of Extensionality
Negated equality and membership
Negated equality
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Metamath Proof Explorer
Ascii
Unicode
Theorem
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Description:
Commutation of inequality.
(Contributed by
NM
, 14-May-1999)
Ref
Expression
Assertion
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⊢
A
≠
B
↔
B
≠
A
Proof
Step
Hyp
Ref
Expression
1
eqcom
⊢
A
=
B
↔
B
=
A
2
1
necon3bii
⊢
A
≠
B
↔
B
≠
A