Definition df-s6 14814

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 14807	. 2 class ⟨“𝐴𝐵𝐶𝐷𝐸𝐹”⟩
8	1, 2, 3, 4, 5	cs5 14806	. . 3 class ⟨“𝐴𝐵𝐶𝐷𝐸”⟩
9	6	cs1 14558	. . 3 class ⟨“𝐹”⟩
10		cconcat 14532	. . 3 class ++
11	8, 9, 10	co 7367	. 2 class (⟨“𝐴𝐵𝐶𝐷𝐸”⟩ ++ ⟨“𝐹”⟩)
12	7, 11	wceq 1542	1 wff ⟨“𝐴𝐵𝐶𝐷𝐸𝐹”⟩ = (⟨“𝐴𝐵𝐶𝐷𝐸”⟩ ++ ⟨“𝐹”⟩)

This definition is referenced by:  s6eqd  14829  s6cld  14837  s6cli  14846  s6len  14863  s1s5  14888  s1s6  14889  s4s2  14892  konigsberglem1  30322  konigsberglem2  30323  konigsberglem3  30324  nthrucw  47316