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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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