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Mirrors > Home > ILE Home > Th. List > df-ot | GIF version |
Description: Define ordered triple of classes. Definition of ordered triple in [Stoll] p. 25. (Contributed by NM, 3-Apr-2015.) |
Ref | Expression |
---|---|
df-ot | ⊢ 〈𝐴, 𝐵, 𝐶〉 = 〈〈𝐴, 𝐵〉, 𝐶〉 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cA | . . 3 class 𝐴 | |
2 | cB | . . 3 class 𝐵 | |
3 | cC | . . 3 class 𝐶 | |
4 | 1, 2, 3 | cotp 3575 | . 2 class 〈𝐴, 𝐵, 𝐶〉 |
5 | 1, 2 | cop 3574 | . . 3 class 〈𝐴, 𝐵〉 |
6 | 5, 3 | cop 3574 | . 2 class 〈〈𝐴, 𝐵〉, 𝐶〉 |
7 | 4, 6 | wceq 1342 | 1 wff 〈𝐴, 𝐵, 𝐶〉 = 〈〈𝐴, 𝐵〉, 𝐶〉 |
Colors of variables: wff set class |
This definition is referenced by: oteq1 3762 oteq2 3763 oteq3 3764 otexg 4203 otth 4215 fnotovb 5877 ot1stg 6113 ot2ndg 6114 ot3rdgg 6115 ottposg 6215 |
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