Definition df-s5 13447

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 13440	. 2 class ⟨“𝐴𝐵𝐶𝐷𝐸”⟩
7	1, 2, 3, 4	cs4 13439	. . 3 class ⟨“𝐴𝐵𝐶𝐷”⟩
8	5	cs1 13149	. . 3 class ⟨“𝐸”⟩
9		cconcat 13148	. . 3 class ++
10	7, 8, 9	co 6549	. 2 class (⟨“𝐴𝐵𝐶𝐷”⟩ ++ ⟨“𝐸”⟩)
11	6, 10	wceq 1475	1 wff ⟨“𝐴𝐵𝐶𝐷𝐸”⟩ = (⟨“𝐴𝐵𝐶𝐷”⟩ ++ ⟨“𝐸”⟩)

This definition is referenced by:  s5eqd  13462  s5cld  13469  s5cli  13478  s5len  13495  s1s4  13520  s1s5  13521  s4s2  13525  s5s2  13530  konigsberg  26514  konigsberglem1  41422  konigsberglem2  41423  konigsberglem3  41424