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Definition df-s6 13797
Description: Define the length 6 word constructor. (Contributed by Mario Carneiro, 26-Feb-2016.)
Assertion
Ref Expression
df-s6 ⟨“𝐴𝐵𝐶𝐷𝐸𝐹”⟩ = (⟨“𝐴𝐵𝐶𝐷𝐸”⟩ ++ ⟨“𝐹”⟩)

Detailed syntax breakdown of Definition df-s6
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
6 cF . . 3 class 𝐹
71, 2, 3, 4, 5, 6cs6 13790 . 2 class ⟨“𝐴𝐵𝐶𝐷𝐸𝐹”⟩
81, 2, 3, 4, 5cs5 13789 . . 3 class ⟨“𝐴𝐵𝐶𝐷𝐸”⟩
96cs1 13480 . . 3 class ⟨“𝐹”⟩
10 cconcat 13479 . . 3 class ++
118, 9, 10co 6813 . 2 class (⟨“𝐴𝐵𝐶𝐷𝐸”⟩ ++ ⟨“𝐹”⟩)
127, 11wceq 1632 1 wff ⟨“𝐴𝐵𝐶𝐷𝐸𝐹”⟩ = (⟨“𝐴𝐵𝐶𝐷𝐸”⟩ ++ ⟨“𝐹”⟩)
Colors of variables: wff setvar class
This definition is referenced by:  s6eqd  13812  s6cld  13820  s6cli  13829  s6len  13846  s1s5  13871  s1s6  13872  s4s2  13875  konigsberglem1  27404  konigsberglem2  27405  konigsberglem3  27406
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