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Mirrors > Home > ILE Home > Th. List > sb2 | Unicode version |
Description: One direction of a simplified definition of substitution. (Contributed by NM, 5-Aug-1993.) |
Ref | Expression |
---|---|
sb2 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-4 1472 | . 2 | |
2 | equs4 1688 | . 2 | |
3 | df-sb 1721 | . 2 | |
4 | 1, 2, 3 | sylanbrc 413 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 wal 1314 wex 1453 wsb 1720 |
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-gen 1410 ax-ie1 1454 ax-ie2 1455 ax-4 1472 ax-i9 1495 ax-ial 1499 |
This theorem depends on definitions: df-bi 116 df-sb 1721 |
This theorem is referenced by: stdpc4 1733 equsb1 1743 equsb2 1744 sbiedh 1745 sb6f 1759 hbsb2a 1762 hbsb2e 1763 sbcof2 1766 sb3 1787 sb4b 1790 sb4bor 1791 hbsb2 1792 nfsb2or 1793 sb6rf 1809 sbi1v 1847 sbalyz 1952 iota4 5076 |
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