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| Mirrors > Home > ILE Home > Th. List > df-s2 | GIF version | ||
| Description: Define the length 2 word constructor. (Contributed by Mario Carneiro, 26-Feb-2016.) |
| Ref | Expression |
|---|---|
| df-s2 | ⊢ 〈“𝐴𝐵”〉 = (〈“𝐴”〉 ++ 〈“𝐵”〉) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | cA | . . 3 class 𝐴 | |
| 2 | cB | . . 3 class 𝐵 | |
| 3 | 1, 2 | cs2 11521 | . 2 class 〈“𝐴𝐵”〉 |
| 4 | 1 | cs1 11383 | . . 3 class 〈“𝐴”〉 |
| 5 | 2 | cs1 11383 | . . 3 class 〈“𝐵”〉 |
| 6 | cconcat 11358 | . . 3 class ++ | |
| 7 | 4, 5, 6 | co 6085 | . 2 class (〈“𝐴”〉 ++ 〈“𝐵”〉) |
| 8 | 3, 7 | wceq 1402 | 1 wff 〈“𝐴𝐵”〉 = (〈“𝐴”〉 ++ 〈“𝐵”〉) |
| Colors of variables: wff set class |
| This definition is used by: cats2catd 11541 s2eqd 11542 s2cld 11550 s2fv0g 11559 s2fv1g 11560 s2leng 11561 s1s2d 11566 s2s2d 11572 s4s2d 11573 s2s5d 11576 s5s2d 11577 konigsberglem1 16729 konigsberglem2 16730 konigsberglem3 16731 |
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