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Definition df-s5 13804
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 13797 . 2 class ⟨“𝐴𝐵𝐶𝐷𝐸”⟩
71, 2, 3, 4cs4 13796 . . 3 class ⟨“𝐴𝐵𝐶𝐷”⟩
85cs1 13489 . . 3 class ⟨“𝐸”⟩
9 cconcat 13488 . . 3 class ++
107, 8, 9co 6792 . 2 class (⟨“𝐴𝐵𝐶𝐷”⟩ ++ ⟨“𝐸”⟩)
116, 10wceq 1630 1 wff ⟨“𝐴𝐵𝐶𝐷𝐸”⟩ = (⟨“𝐴𝐵𝐶𝐷”⟩ ++ ⟨“𝐸”⟩)
Colors of variables: wff setvar class
This definition is referenced by:  s5eqd  13819  s5cld  13827  s5cli  13836  s5len  13853  s1s4  13878  s1s5  13879  s4s2  13883  s5s2  13888  konigsberglem1  27429  konigsberglem2  27430  konigsberglem3  27431
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