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Mirrors > Home > NFE 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 1649 |
. 2
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2 | simpl 443 |
. . 3
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3 | 2 | com12 27 |
. 2
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4 | 1, 3 | syl5bi 208 |
1
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Colors of variables: wff setvar class |
Syntax hints: ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 |
This theorem depends on definitions: df-bi 177 df-an 360 df-sb 1649 |
This theorem is referenced by: stdpc7 1917 sbequ12 1919 dfsb2 2055 sbequi 2059 sbn 2062 sbi1 2063 mo 2226 mopick 2266 |
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