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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 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | pm3.4 329 |
. . 3
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2 | 19.8a 1552 |
. . 3
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3 | df-sb 1719 |
. . 3
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4 | 1, 2, 3 | sylanbrc 411 |
. 2
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5 | 4 | ex 114 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-gen 1408 ax-ie1 1452 ax-ie2 1453 ax-4 1470 |
This theorem depends on definitions: df-bi 116 df-sb 1719 |
This theorem is referenced by: sbequ12 1727 sbequi 1793 sb6rf 1807 mo2n 2003 bj-bdfindes 12839 bj-findes 12871 |
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