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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
StepHypRef 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
61, 2, 3, 4, 5cs5 13440 . 2 class ⟨“𝐴𝐵𝐶𝐷𝐸”⟩
71, 2, 3, 4cs4 13439 . . 3 class ⟨“𝐴𝐵𝐶𝐷”⟩
85cs1 13149 . . 3 class ⟨“𝐸”⟩
9 cconcat 13148 . . 3 class ++
107, 8, 9co 6549 . 2 class (⟨“𝐴𝐵𝐶𝐷”⟩ ++ ⟨“𝐸”⟩)
116, 10wceq 1475 1 wff ⟨“𝐴𝐵𝐶𝐷𝐸”⟩ = (⟨“𝐴𝐵𝐶𝐷”⟩ ++ ⟨“𝐸”⟩)
 Colors of variables: wff setvar class 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
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