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Mirrors > Home > ILE Home > Th. List > sbequ1 | Unicode version |
Description: An equality theorem for substitution. (Contributed by NM, 5-Aug-1993.) |
Ref | Expression |
---|---|
sbequ1 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | pm3.4 331 | . . 3 | |
2 | 19.8a 1583 | . . 3 | |
3 | df-sb 1756 | . . 3 | |
4 | 1, 2, 3 | sylanbrc 415 | . 2 |
5 | 4 | ex 114 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 wex 1485 wsb 1755 |
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-gen 1442 ax-ie1 1486 ax-ie2 1487 ax-4 1503 |
This theorem depends on definitions: df-bi 116 df-sb 1756 |
This theorem is referenced by: sbequ12 1764 sbequi 1832 sb6rf 1846 mo2n 2047 bj-bdfindes 13984 bj-findes 14016 |
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