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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 3508 | . 2 | |
3 | 1, 2 | ax-mp 5 | 1 |
Colors of variables: wff set class |
Syntax hints: wceq 1316 csn 3497 |
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 1408 ax-7 1409 ax-gen 1410 ax-ie1 1454 ax-ie2 1455 ax-8 1467 ax-11 1469 ax-4 1472 ax-17 1491 ax-i9 1495 ax-ial 1499 ax-i5r 1500 ax-ext 2099 |
This theorem depends on definitions: df-bi 116 df-tru 1319 df-nf 1422 df-sb 1721 df-clab 2104 df-cleq 2110 df-sn 3503 |
This theorem is referenced by: fnressn 5574 fressnfv 5575 snriota 5727 xpassen 6692 ennnfonelem1 11847 strle1g 11976 |
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