Definition df-s5 14804

Description: Define the length 5 word constructor. (Contributed by Mario Carneiro, 26-Feb-2016.)

Assertion

Ref	Expression
df-s5	⊢ ⟨“𝐴𝐵𝐶𝐷𝐸”⟩ = (⟨“𝐴𝐵𝐶𝐷”⟩ ++ ⟨“𝐸”⟩)

Detailed syntax breakdown of Definition df-s5

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	1, 2, 3, 4, 5	cs5 14797	. 2 class ⟨“𝐴𝐵𝐶𝐷𝐸”⟩
7	1, 2, 3, 4	cs4 14796	. . 3 class ⟨“𝐴𝐵𝐶𝐷”⟩
8	5	cs1 14549	. . 3 class ⟨“𝐸”⟩
9		cconcat 14523	. . 3 class ++
10	7, 8, 9	co 7356	. 2 class (⟨“𝐴𝐵𝐶𝐷”⟩ ++ ⟨“𝐸”⟩)
11	6, 10	wceq 1547	1 wff ⟨“𝐴𝐵𝐶𝐷𝐸”⟩ = (⟨“𝐴𝐵𝐶𝐷”⟩ ++ ⟨“𝐸”⟩)

This definition is referenced by:  s5eqd  14819  s5cld  14827  s5cli  14836  s5len  14853  s1s4  14878  s1s5  14879  s4s2  14883  s5s2  14888  konigsberglem1  30340  konigsberglem2  30341  konigsberglem3  30342  nthrucw  47331  gpgprismgr4cycllem6  48591  gpgprismgr4cycllem7  48592  gpgprismgr4cycllem10  48595