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Mirrors > Home > MPE Home > Th. List > df-rpss | Structured version Visualization version Unicode version |
Description: Define a relation which corresponds to proper subsethood df-pss 3420 on sets. This allows us to use proper subsethood with general concepts that require relations, such as strict ordering, see sorpss 6576. (Contributed by Stefan O'Rear, 2-Nov-2014.) |
Ref | Expression |
---|---|
df-rpss |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | crpss 6570 |
. 2
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2 | vx |
. . . . 5
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3 | 2 | cv 1443 |
. . . 4
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4 | vy |
. . . . 5
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5 | 4 | cv 1443 |
. . . 4
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6 | 3, 5 | wpss 3405 |
. . 3
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7 | 6, 2, 4 | copab 4460 |
. 2
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8 | 1, 7 | wceq 1444 |
1
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Colors of variables: wff setvar class |
This definition is referenced by: relrpss 6572 brrpssg 6573 |
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