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Mirrors > Home > ILE Home > Th. List > df-qs | Unicode version |
Description: Define quotient set. is usually an equivalence relation. Definition of [Enderton] p. 58. (Contributed by NM, 23-Jul-1995.) |
Ref | Expression |
---|---|
df-qs |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cA | . . 3 | |
2 | cR | . . 3 | |
3 | 1, 2 | cqs 6524 | . 2 |
4 | vy | . . . . . 6 | |
5 | 4 | cv 1352 | . . . . 5 |
6 | vx | . . . . . . 7 | |
7 | 6 | cv 1352 | . . . . . 6 |
8 | 7, 2 | cec 6523 | . . . . 5 |
9 | 5, 8 | wceq 1353 | . . . 4 |
10 | 9, 6, 1 | wrex 2454 | . . 3 |
11 | 10, 4 | cab 2161 | . 2 |
12 | 3, 11 | wceq 1353 | 1 |
Colors of variables: wff set class |
This definition is referenced by: qseq1 6573 qseq2 6574 elqsg 6575 qsexg 6581 uniqs 6583 snec 6586 qsinxp 6601 qliftf 6610 |
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