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Definition df-s7 14204
Description: Define the length 7 word constructor. (Contributed by Mario Carneiro, 26-Feb-2016.)
Assertion
Ref Expression
df-s7 ⟨“𝐴𝐵𝐶𝐷𝐸𝐹𝐺”⟩ = (⟨“𝐴𝐵𝐶𝐷𝐸𝐹”⟩ ++ ⟨“𝐺”⟩)

Detailed syntax breakdown of Definition df-s7
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
7 cG . . 3 class 𝐺
81, 2, 3, 4, 5, 6, 7cs7 14197 . 2 class ⟨“𝐴𝐵𝐶𝐷𝐸𝐹𝐺”⟩
91, 2, 3, 4, 5, 6cs6 14196 . . 3 class ⟨“𝐴𝐵𝐶𝐷𝐸𝐹”⟩
107cs1 13938 . . 3 class ⟨“𝐺”⟩
11 cconcat 13911 . . 3 class ++
129, 10, 11co 7138 . 2 class (⟨“𝐴𝐵𝐶𝐷𝐸𝐹”⟩ ++ ⟨“𝐺”⟩)
138, 12wceq 1538 1 wff ⟨“𝐴𝐵𝐶𝐷𝐸𝐹𝐺”⟩ = (⟨“𝐴𝐵𝐶𝐷𝐸𝐹”⟩ ++ ⟨“𝐺”⟩)
Colors of variables: wff setvar class
This definition is referenced by:  s7eqd  14219  s7cld  14227  s7cli  14236  s7len  14253  s1s6  14278  s1s7  14279  s4s3  14282  s5s2  14286  konigsberglem1  28026  konigsberglem2  28027  konigsberglem3  28028
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