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Mirrors > Home > ILE Home > Th. List > sbequ2 | Unicode version |
Description: An equality theorem for substitution. (Contributed by NM, 5-Aug-1993.) |
Ref | Expression |
---|---|
sbequ2 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-sb 1763 |
. 2
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2 | simpl 109 |
. . 3
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3 | 2 | com12 30 |
. 2
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4 | 1, 3 | biimtrid 152 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 106 |
This theorem depends on definitions: df-bi 117 df-sb 1763 |
This theorem is referenced by: stdpc7 1770 sbequ12 1771 sbequi 1839 mo23 2067 mopick 2104 |
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