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Mirrors > Home > MPE Home > Th. List > df-s7 | Structured version Visualization version GIF version |
Description: Define the length 7 word constructor. (Contributed by Mario Carneiro, 26-Feb-2016.) |
Ref | Expression |
---|---|
df-s7 | ⊢ 〈“𝐴𝐵𝐶𝐷𝐸𝐹𝐺”〉 = (〈“𝐴𝐵𝐶𝐷𝐸𝐹”〉 ++ 〈“𝐺”〉) |
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 | cG | . . 3 class 𝐺 | |
8 | 1, 2, 3, 4, 5, 6, 7 | cs7 13997 | . 2 class 〈“𝐴𝐵𝐶𝐷𝐸𝐹𝐺”〉 |
9 | 1, 2, 3, 4, 5, 6 | cs6 13996 | . . 3 class 〈“𝐴𝐵𝐶𝐷𝐸𝐹”〉 |
10 | 7 | cs1 13685 | . . 3 class 〈“𝐺”〉 |
11 | cconcat 13660 | . . 3 class ++ | |
12 | 9, 10, 11 | co 6922 | . 2 class (〈“𝐴𝐵𝐶𝐷𝐸𝐹”〉 ++ 〈“𝐺”〉) |
13 | 8, 12 | wceq 1601 | 1 wff 〈“𝐴𝐵𝐶𝐷𝐸𝐹𝐺”〉 = (〈“𝐴𝐵𝐶𝐷𝐸𝐹”〉 ++ 〈“𝐺”〉) |
Colors of variables: wff setvar class |
This definition is referenced by: s7eqd 14019 s7cld 14027 s7cli 14036 s7len 14053 s1s6 14078 s1s7 14079 s4s3 14082 s5s2 14086 konigsberglem1 27672 konigsberglem2 27673 konigsberglem3 27674 |
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