Definition df-ot 3719

Description: Define ordered triple of classes. Definition of ordered triple in [Stoll] p. 25. (Contributed by NM, 3-Apr-2015.)

Assertion

Ref	Expression
df-ot	⊢ ⟨𝐴, 𝐵, 𝐶⟩ = ⟨⟨𝐴, 𝐵⟩, 𝐶⟩

Detailed syntax breakdown of Definition df-ot

Step	Hyp	Ref	Expression
1		cA	. . 3 class 𝐴
2		cB	. . 3 class 𝐵
3		cC	. . 3 class 𝐶
4	1, 2, 3	cotp 3713	. 2 class ⟨𝐴, 𝐵, 𝐶⟩
5	1, 2	cop 3712	. . 3 class ⟨𝐴, 𝐵⟩
6	5, 3	cop 3712	. 2 class ⟨⟨𝐴, 𝐵⟩, 𝐶⟩
7	4, 6	wceq 1402	1 wff ⟨𝐴, 𝐵, 𝐶⟩ = ⟨⟨𝐴, 𝐵⟩, 𝐶⟩

This definition is used by:  oteq1  3913  oteq2  3914  oteq3  3915  otexg  4370  otth  4382  fnotovb  6131  ot1stg  6386  ot2ndg  6387  ot3rdgg  6388  ottposg  6526