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Mirrors > Home > MPE Home > Th. List > df-s8 | Structured version Visualization version GIF version |
Description: Define the length 8 word constructor. (Contributed by Mario Carneiro, 26-Feb-2016.) |
Ref | Expression |
---|---|
df-s8 | ⊢ ⟨“𝐴𝐵𝐶𝐷𝐸𝐹𝐺𝐻”⟩ = (⟨“𝐴𝐵𝐶𝐷𝐸𝐹𝐺”⟩ ++ ⟨“𝐻”⟩) |
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 | cH | . . 3 class 𝐻 | |
9 | 1, 2, 3, 4, 5, 6, 7, 8 | cs8 14800 | . 2 class ⟨“𝐴𝐵𝐶𝐷𝐸𝐹𝐺𝐻”⟩ |
10 | 1, 2, 3, 4, 5, 6, 7 | cs7 14799 | . . 3 class ⟨“𝐴𝐵𝐶𝐷𝐸𝐹𝐺”⟩ |
11 | 8 | cs1 14547 | . . 3 class ⟨“𝐻”⟩ |
12 | cconcat 14522 | . . 3 class ++ | |
13 | 10, 11, 12 | co 7402 | . 2 class (⟨“𝐴𝐵𝐶𝐷𝐸𝐹𝐺”⟩ ++ ⟨“𝐻”⟩) |
14 | 9, 13 | wceq 1533 | 1 wff ⟨“𝐴𝐵𝐶𝐷𝐸𝐹𝐺𝐻”⟩ = (⟨“𝐴𝐵𝐶𝐷𝐸𝐹𝐺”⟩ ++ ⟨“𝐻”⟩) |
Colors of variables: wff setvar class |
This definition is referenced by: s8eqd 14822 s8cld 14830 s8cli 14839 s8len 14856 s1s7 14881 s4s4 14885 |
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