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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 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sbequ12 1651 |
. . 3
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2 | 1 | bicomd 129 |
. 2
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3 | 2 | equcoms 1591 |
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 99 ax-ia2 100 ax-ia3 101 ax-gen 1335 ax-ie1 1379 ax-ie2 1380 ax-8 1392 ax-4 1397 ax-17 1416 ax-i9 1420 |
This theorem depends on definitions: df-bi 110 df-sb 1643 |
This theorem is referenced by: abbi 2148 findes 4269 opeliunxp 4338 isarep1 4928 |
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