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Mirrors > Home > ILE Home > Th. List > sneqi | Unicode version |
Description: Equality inference for singletons. (Contributed by NM, 22-Jan-2004.) |
Ref | Expression |
---|---|
sneqi.1 |
Ref | Expression |
---|---|
sneqi |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sneqi.1 | . 2 | |
2 | sneq 3582 | . 2 | |
3 | 1, 2 | ax-mp 5 | 1 |
Colors of variables: wff set class |
Syntax hints: wceq 1342 csn 3571 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-5 1434 ax-7 1435 ax-gen 1436 ax-ie1 1480 ax-ie2 1481 ax-8 1491 ax-11 1493 ax-4 1497 ax-17 1513 ax-i9 1517 ax-ial 1521 ax-i5r 1522 ax-ext 2146 |
This theorem depends on definitions: df-bi 116 df-tru 1345 df-nf 1448 df-sb 1750 df-clab 2151 df-cleq 2157 df-sn 3577 |
This theorem is referenced by: fnressn 5666 fressnfv 5667 snriota 5822 xpassen 6788 ennnfonelem1 12303 strle1g 12447 |
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