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Mirrors > Home > MPE Home > Th. List > df-s6 | Structured version Visualization version GIF version |
Description: Define the length 6 word constructor. (Contributed by Mario Carneiro, 26-Feb-2016.) |
Ref | Expression |
---|---|
df-s6 | ⊢ 〈“𝐴𝐵𝐶𝐷𝐸𝐹”〉 = (〈“𝐴𝐵𝐶𝐷𝐸”〉 ++ 〈“𝐹”〉) |
Step | Hyp | Ref | 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 | 1, 2, 3, 4, 5, 6 | cs6 14069 | . 2 class 〈“𝐴𝐵𝐶𝐷𝐸𝐹”〉 |
8 | 1, 2, 3, 4, 5 | cs5 14068 | . . 3 class 〈“𝐴𝐵𝐶𝐷𝐸”〉 |
9 | 6 | cs1 13758 | . . 3 class 〈“𝐹”〉 |
10 | cconcat 13733 | . . 3 class ++ | |
11 | 8, 9, 10 | co 6976 | . 2 class (〈“𝐴𝐵𝐶𝐷𝐸”〉 ++ 〈“𝐹”〉) |
12 | 7, 11 | wceq 1507 | 1 wff 〈“𝐴𝐵𝐶𝐷𝐸𝐹”〉 = (〈“𝐴𝐵𝐶𝐷𝐸”〉 ++ 〈“𝐹”〉) |
Colors of variables: wff setvar class |
This definition is referenced by: s6eqd 14091 s6cld 14099 s6cli 14108 s6len 14125 s1s5 14150 s1s6 14151 s4s2 14154 konigsberglem1 27784 konigsberglem2 27785 konigsberglem3 27786 |
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