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Mirrors > Home > MPE Home > Th. List > df-s1 | Structured version Visualization version GIF version |
Description: Define the canonical injection from symbols to words. (Contributed by Stefan O'Rear, 15-Aug-2015.) (Revised by Mario Carneiro, 26-Feb-2016.) |
Ref | Expression |
---|---|
df-s1 | ⊢ 〈“𝐴”〉 = {〈0, ( I ‘𝐴)〉} |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cA | . . 3 class 𝐴 | |
2 | 1 | cs1 13149 | . 2 class 〈“𝐴”〉 |
3 | cc0 9815 | . . . 4 class 0 | |
4 | cid 4948 | . . . . 5 class I | |
5 | 1, 4 | cfv 5804 | . . . 4 class ( I ‘𝐴) |
6 | 3, 5 | cop 4131 | . . 3 class 〈0, ( I ‘𝐴)〉 |
7 | 6 | csn 4125 | . 2 class {〈0, ( I ‘𝐴)〉} |
8 | 2, 7 | wceq 1475 | 1 wff 〈“𝐴”〉 = {〈0, ( I ‘𝐴)〉} |
Colors of variables: wff setvar class |
This definition is referenced by: ids1 13230 s1val 13231 s1eq 13233 s1len 13238 s1nz 13239 funcnvs1 13507 |
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