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Mirrors > Home > ILE Home > Th. List > eqsb3lem | Unicode version |
Description: Lemma for eqsb3 2241. (Contributed by Rodolfo Medina, 28-Apr-2010.) (Proof shortened by Andrew Salmon, 14-Jun-2011.) |
Ref | Expression |
---|---|
eqsb3lem |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfv 1508 | . 2 | |
2 | eqeq1 2144 | . 2 | |
3 | 1, 2 | sbie 1764 | 1 |
Colors of variables: wff set class |
Syntax hints: wb 104 wceq 1331 wsb 1735 |
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 1423 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-4 1487 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-ext 2119 |
This theorem depends on definitions: df-bi 116 df-nf 1437 df-sb 1736 df-cleq 2130 |
This theorem is referenced by: eqsb3 2241 |
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