Definition df-ot 3679

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 3673	. 2 class ⟨𝐴, 𝐵, 𝐶⟩
5	1, 2	cop 3672	. . 3 class ⟨𝐴, 𝐵⟩
6	5, 3	cop 3672	. 2 class ⟨⟨𝐴, 𝐵⟩, 𝐶⟩
7	4, 6	wceq 1397	1 wff ⟨𝐴, 𝐵, 𝐶⟩ = ⟨⟨𝐴, 𝐵⟩, 𝐶⟩

This definition is referenced by:  oteq1  3871  oteq2  3872  oteq3  3873  otexg  4322  otth  4334  fnotovb  6064  ot1stg  6315  ot2ndg  6316  ot3rdgg  6317  ottposg  6421