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| Mirrors > Home > NFE Home > Th. List > df-sset | GIF version | ||
| Description: Define a relationship that holds between subsets. (Contributed by SF, 5-Jan-2015.) | 
| Ref | Expression | 
|---|---|
| df-sset | ⊢ S = {〈x, y〉 ∣ x ⊆ y} | 
| Step | Hyp | Ref | Expression | 
|---|---|---|---|
| 1 | csset 4720 | . 2 class S | |
| 2 | vx | . . . . 5 setvar x | |
| 3 | 2 | cv 1641 | . . . 4 class x | 
| 4 | vy | . . . . 5 setvar y | |
| 5 | 4 | cv 1641 | . . . 4 class y | 
| 6 | 3, 5 | wss 3258 | . . 3 wff x ⊆ y | 
| 7 | 6, 2, 4 | copab 4623 | . 2 class {〈x, y〉 ∣ x ⊆ y} | 
| 8 | 1, 7 | wceq 1642 | 1 wff S = {〈x, y〉 ∣ x ⊆ y} | 
| Colors of variables: wff setvar class | 
| This definition is referenced by: dfsset2 4744 brssetg 4758 | 
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