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Mirrors > Home > MPE Home > Th. List > Mathboxes > df-altop | Structured version Visualization version Unicode version |
Description: An alternative definition of ordered pairs. This definition removes a hypothesis from its defining theorem (see altopth 32076), making it more convenient in some circumstances. (Contributed by Scott Fenton, 22-Mar-2012.) |
Ref | Expression |
---|---|
df-altop |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cA | . . 3 | |
2 | cB | . . 3 | |
3 | 1, 2 | caltop 32063 | . 2 |
4 | 1 | csn 4177 | . . 3 |
5 | 2 | csn 4177 | . . . 4 |
6 | 1, 5 | cpr 4179 | . . 3 |
7 | 4, 6 | cpr 4179 | . 2 |
8 | 3, 7 | wceq 1483 | 1 |
Colors of variables: wff setvar class |
This definition is referenced by: altopex 32067 altopthsn 32068 altxpsspw 32084 rankaltopb 32086 nfaltop 32087 |
Copyright terms: Public domain | W3C validator |