Definition df-s8 14893

Description: Define the length 8 word constructor. (Contributed by Mario Carneiro, 26-Feb-2016.)

Assertion

Ref	Expression
df-s8	⊢ ⟨“𝐴𝐵𝐶𝐷𝐸𝐹𝐺𝐻”⟩ = (⟨“𝐴𝐵𝐶𝐷𝐸𝐹𝐺”⟩ ++ ⟨“𝐻”⟩)

Detailed syntax breakdown of Definition df-s8

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		cG	. . 3 class 𝐺
8		cH	. . 3 class 𝐻
9	1, 2, 3, 4, 5, 6, 7, 8	cs8 14886	. 2 class ⟨“𝐴𝐵𝐶𝐷𝐸𝐹𝐺𝐻”⟩
10	1, 2, 3, 4, 5, 6, 7	cs7 14885	. . 3 class ⟨“𝐴𝐵𝐶𝐷𝐸𝐹𝐺”⟩
11	8	cs1 14633	. . 3 class ⟨“𝐻”⟩
12		cconcat 14608	. . 3 class ++
13	10, 11, 12	co 7431	. 2 class (⟨“𝐴𝐵𝐶𝐷𝐸𝐹𝐺”⟩ ++ ⟨“𝐻”⟩)
14	9, 13	wceq 1540	1 wff ⟨“𝐴𝐵𝐶𝐷𝐸𝐹𝐺𝐻”⟩ = (⟨“𝐴𝐵𝐶𝐷𝐸𝐹𝐺”⟩ ++ ⟨“𝐻”⟩)

This definition is referenced by:  s8eqd  14908  s8cld  14916  s8cli  14925  s8len  14942  s1s7  14967  s4s4  14971