Definition df-s7 14004

Description: Define the length 7 word constructor. (Contributed by Mario Carneiro, 26-Feb-2016.)

Assertion

Ref	Expression
df-s7	⊢ ⟨“𝐴𝐵𝐶𝐷𝐸𝐹𝐺”⟩ = (⟨“𝐴𝐵𝐶𝐷𝐸𝐹”⟩ ++ ⟨“𝐺”⟩)

Detailed syntax breakdown of Definition df-s7

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	1, 2, 3, 4, 5, 6, 7	cs7 13997	. 2 class ⟨“𝐴𝐵𝐶𝐷𝐸𝐹𝐺”⟩
9	1, 2, 3, 4, 5, 6	cs6 13996	. . 3 class ⟨“𝐴𝐵𝐶𝐷𝐸𝐹”⟩
10	7	cs1 13685	. . 3 class ⟨“𝐺”⟩
11		cconcat 13660	. . 3 class ++
12	9, 10, 11	co 6922	. 2 class (⟨“𝐴𝐵𝐶𝐷𝐸𝐹”⟩ ++ ⟨“𝐺”⟩)
13	8, 12	wceq 1601	1 wff ⟨“𝐴𝐵𝐶𝐷𝐸𝐹𝐺”⟩ = (⟨“𝐴𝐵𝐶𝐷𝐸𝐹”⟩ ++ ⟨“𝐺”⟩)

This definition is referenced by:  s7eqd  14019  s7cld  14027  s7cli  14036  s7len  14053  s1s6  14078  s1s7  14079  s4s3  14082  s5s2  14086  konigsberglem1  27672  konigsberglem2  27673  konigsberglem3  27674