Definition df-s6 11253

Description: Define the length 6 word constructor. (Contributed by Mario Carneiro, 26-Feb-2016.)

Assertion

Ref	Expression
df-s6	⊢ ⟨“𝐴𝐵𝐶𝐷𝐸𝐹”⟩ = (⟨“𝐴𝐵𝐶𝐷𝐸”⟩ ++ ⟨“𝐹”⟩)

Detailed syntax breakdown of Definition df-s6

Step	Hyp	Ref	Expression
1		cA	. . 3 class 𝐴
2		cB	. . 3 class 𝐵
3		cC	. . 3 class 𝐶
4		cD	. . 3 class 𝐷
5		cE	. . 3 class 𝐸
6		cF	. . 3 class 𝐹
7	1, 2, 3, 4, 5, 6	cs6 11246	. 2 class ⟨“𝐴𝐵𝐶𝐷𝐸𝐹”⟩
8	1, 2, 3, 4, 5	cs5 11245	. . 3 class ⟨“𝐴𝐵𝐶𝐷𝐸”⟩
9	6	cs1 11109	. . 3 class ⟨“𝐹”⟩
10		cconcat 11086	. . 3 class ++
11	8, 9, 10	co 5969	. 2 class (⟨“𝐴𝐵𝐶𝐷𝐸”⟩ ++ ⟨“𝐹”⟩)
12	7, 11	wceq 1373	1 wff ⟨“𝐴𝐵𝐶𝐷𝐸𝐹”⟩ = (⟨“𝐴𝐵𝐶𝐷𝐸”⟩ ++ ⟨“𝐹”⟩)

This definition is referenced by:  s6eqd  11267  s6cld  11275