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Definition df-s5 14204
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 14197 . 2 class ⟨“𝐴𝐵𝐶𝐷𝐸”⟩
71, 2, 3, 4cs4 14196 . . 3 class ⟨“𝐴𝐵𝐶𝐷”⟩
85cs1 13940 . . 3 class ⟨“𝐸”⟩
9 cconcat 13913 . . 3 class ++
107, 8, 9co 7140 . 2 class (⟨“𝐴𝐵𝐶𝐷”⟩ ++ ⟨“𝐸”⟩)
116, 10wceq 1538 1 wff ⟨“𝐴𝐵𝐶𝐷𝐸”⟩ = (⟨“𝐴𝐵𝐶𝐷”⟩ ++ ⟨“𝐸”⟩)
Colors of variables: wff setvar class
This definition is referenced by:  s5eqd  14219  s5cld  14227  s5cli  14236  s5len  14253  s1s4  14278  s1s5  14279  s4s2  14283  s5s2  14288  konigsberglem1  28035  konigsberglem2  28036  konigsberglem3  28037
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