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Related theorems Unicode version |
| Description: An equality theorem for substitution. |
| Ref | Expression |
|---|---|
| sbequ1 |
|
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | pm3.4 531 |
. . 3
| |
| 2 | 19.8a 1665 |
. . 3
| |
| 3 | df-sb 1816 |
. . 3
| |
| 4 | 1, 2, 3 | sylanbrc 664 |
. 2
|
| 5 | 4 | ex 398 |
1
|
| Colors of variables: wff set class |
| Syntax hints: |
| This theorem is referenced by: sbequ12 1825 dfsb2 1871 sbequi 1874 sbn 1877 sbi1 1878 hbsb4 1895 sb6rf 1907 mo 2053 sb5ALT 17304 sb5ALTVD 17559 |
| This theorem was proved from axioms: ax-1 4 ax-2 5 ax-3 6 ax-mp 7 ax-4 1608 |
| This theorem depends on definitions: df-bi 220 df-an 339 df-ex 1616 df-sb 1816 |