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Mirrors > Home > ILE Home > Th. List > sbid | Unicode version |
Description: An identity theorem for substitution. Remark 9.1 in [Megill] p. 447 (p. 15 of the preprint). (Contributed by NM, 5-Aug-1993.) |
Ref | Expression |
---|---|
sbid |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | equid 1629 | . . 3 | |
2 | sbequ12 1694 | . . 3 | |
3 | 1, 2 | ax-mp 7 | . 2 |
4 | 3 | bicomi 130 | 1 |
Colors of variables: wff set class |
Syntax hints: wb 103 wsb 1685 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 ax-gen 1378 ax-ie1 1422 ax-ie2 1423 ax-8 1435 ax-4 1440 ax-17 1459 ax-i9 1463 |
This theorem depends on definitions: df-bi 115 df-sb 1686 |
This theorem is referenced by: abid 2069 sbceq1a 2824 sbcid 2830 |
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