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Mirrors > Home > NFE 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 1676 | . . 3 | |
2 | sbequ12 1919 | . . 3 | |
3 | 1, 2 | ax-mp 5 | . 2 |
4 | 3 | bicomi 193 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wb 176 wsb 1648 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1546 ax-5 1557 ax-17 1616 ax-9 1654 ax-8 1675 ax-11 1746 |
This theorem depends on definitions: df-bi 177 df-an 360 df-ex 1542 df-sb 1649 |
This theorem is referenced by: abid 2341 sbceq1a 3056 sbcid 3062 csbid 3143 |
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