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Mirrors > Home > ILE Home > Th. List > sbab | Unicode version |
Description: The right-hand side of the second equality is a way of representing proper substitution of for into a class variable. (Contributed by NM, 14-Sep-2003.) |
Ref | Expression |
---|---|
sbab |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sbequ12 1744 | . 2 | |
2 | 1 | abbi2dv 2256 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wceq 1331 wcel 1480 wsb 1735 cab 2123 |
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-7 1424 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-8 1482 ax-11 1484 ax-4 1487 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-i5r 1515 ax-ext 2119 |
This theorem depends on definitions: df-bi 116 df-nf 1437 df-sb 1736 df-clab 2124 df-cleq 2130 df-clel 2133 |
This theorem is referenced by: sbcel12g 3012 sbceqg 3013 |
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