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Mirrors > Home > ILE Home > Th. List > sb4e | Unicode version |
Description: One direction of a simplified definition of substitution that unlike sb4 1804 doesn't require a distinctor antecedent. (Contributed by NM, 2-Feb-2007.) |
Ref | Expression |
---|---|
sb4e |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sb1 1739 | . 2 | |
2 | equs5e 1767 | . 2 | |
3 | 1, 2 | syl 14 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 wal 1329 wex 1468 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-11 1484 ax-4 1487 ax-ial 1514 |
This theorem depends on definitions: df-bi 116 df-sb 1736 |
This theorem is referenced by: hbsb2e 1779 |
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