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Definition df-altop 25803
Description: An alternative definition of ordered pairs. This definition removes a hypothesis from its defining theorem (see altopth 25814), making it more convenient in some circumstances. (Contributed by Scott Fenton, 22-Mar-2012.)
Assertion
Ref Expression
df-altop  |-  << A ,  B >>  =  { { A } ,  { A ,  { B } } }

Detailed syntax breakdown of Definition df-altop
StepHypRef Expression
1 cA . . 3  class  A
2 cB . . 3  class  B
31, 2caltop 25801 . 2  class  << A ,  B >>
41csn 3814 . . 3  class  { A }
52csn 3814 . . . 4  class  { B }
61, 5cpr 3815 . . 3  class  { A ,  { B } }
74, 6cpr 3815 . 2  class  { { A } ,  { A ,  { B } } }
83, 7wceq 1652 1  wff  << A ,  B >>  =  { { A } ,  { A ,  { B } } }
Colors of variables: wff set class
This definition is referenced by:  altopex  25805  altopthsn  25806  altxpsspw  25822  rankaltopb  25824  nfaltop  25825
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