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Mirrors > Home > ILE Home > Th. List > sbequ12r | Unicode version |
Description: An equality theorem for substitution. (Contributed by NM, 6-Oct-2004.) (Proof shortened by Andrew Salmon, 21-Jun-2011.) |
Ref | Expression |
---|---|
sbequ12r |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sbequ12 1758 | . . 3 | |
2 | 1 | bicomd 140 | . 2 |
3 | 2 | equcoms 1695 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 104 wsb 1749 |
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 1436 ax-ie1 1480 ax-ie2 1481 ax-8 1491 ax-4 1497 ax-17 1513 ax-i9 1517 |
This theorem depends on definitions: df-bi 116 df-sb 1750 |
This theorem is referenced by: abbi 2278 findes 4574 opeliunxp 4653 isarep1 5268 bezoutlemmain 11916 |
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