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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 13591 | . 2 class 〈“𝐴𝐵𝐶𝐷𝐸𝐹𝐺”〉 |
9 | 1, 2, 3, 4, 5, 6 | cs6 13590 | . . 3 class 〈“𝐴𝐵𝐶𝐷𝐸𝐹”〉 |
10 | 7 | cs1 13294 | . . 3 class 〈“𝐺”〉 |
11 | cconcat 13293 | . . 3 class ++ | |
12 | 9, 10, 11 | co 6650 | . 2 class (〈“𝐴𝐵𝐶𝐷𝐸𝐹”〉 ++ 〈“𝐺”〉) |
13 | 8, 12 | wceq 1483 | 1 wff 〈“𝐴𝐵𝐶𝐷𝐸𝐹𝐺”〉 = (〈“𝐴𝐵𝐶𝐷𝐸𝐹”〉 ++ 〈“𝐺”〉) |
Colors of variables: wff setvar class |
This definition is referenced by: s7eqd 13613 s7cld 13621 s7cli 13630 s7len 13647 s1s6 13672 s1s7 13673 s4s3 13676 s5s2 13680 konigsberglem1 27114 konigsberglem2 27115 konigsberglem3 27116 |
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