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Definition df-s6 14205
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 14198 . 2 class ⟨“𝐴𝐵𝐶𝐷𝐸𝐹”⟩
81, 2, 3, 4, 5cs5 14197 . . 3 class ⟨“𝐴𝐵𝐶𝐷𝐸”⟩
96cs1 13940 . . 3 class ⟨“𝐹”⟩
10 cconcat 13913 . . 3 class ++
118, 9, 10co 7135 . 2 class (⟨“𝐴𝐵𝐶𝐷𝐸”⟩ ++ ⟨“𝐹”⟩)
127, 11wceq 1538 1 wff ⟨“𝐴𝐵𝐶𝐷𝐸𝐹”⟩ = (⟨“𝐴𝐵𝐶𝐷𝐸”⟩ ++ ⟨“𝐹”⟩)
Colors of variables: wff setvar class
This definition is referenced by:  s6eqd  14220  s6cld  14228  s6cli  14237  s6len  14254  s1s5  14279  s1s6  14280  s4s2  14283  konigsberglem1  28037  konigsberglem2  28038  konigsberglem3  28039
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