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Mathbox for Scott Fenton |
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Mirrors > Home > MPE Home > Th. List > Mathboxes > df-altop | Structured version Unicode version |
Description: An alternative definition of ordered pairs. This definition removes a hypothesis from its defining theorem (see altopth 28134), making it more convenient in some circumstances. (Contributed by Scott Fenton, 22-Mar-2012.) |
Ref | Expression |
---|---|
df-altop |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cA |
. . 3
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2 | cB |
. . 3
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3 | 1, 2 | caltop 28121 |
. 2
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4 | 1 | csn 3975 |
. . 3
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5 | 2 | csn 3975 |
. . . 4
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6 | 1, 5 | cpr 3977 |
. . 3
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7 | 4, 6 | cpr 3977 |
. 2
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8 | 3, 7 | wceq 1370 |
1
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Colors of variables: wff setvar class |
This definition is referenced by: altopex 28125 altopthsn 28126 altxpsspw 28142 rankaltopb 28144 nfaltop 28145 |
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