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Mirrors > Home > MPE Home > Th. List > ereq2 | Structured version Unicode version |
Description: Equality theorem for equivalence predicate. (Contributed by Mario Carneiro, 12-Aug-2015.) |
Ref | Expression |
---|---|
ereq2 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eqeq2 2466 |
. . 3
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2 | 1 | 3anbi2d 1295 |
. 2
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3 | df-er 7204 |
. 2
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4 | df-er 7204 |
. 2
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5 | 2, 3, 4 | 3bitr4g 288 |
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 ax-gen 1592 ax-4 1603 ax-ext 2430 |
This theorem depends on definitions: df-bi 185 df-an 371 df-3an 967 df-cleq 2443 df-er 7204 |
This theorem is referenced by: iserd 7230 efgval 16327 frgp0 16370 frgpmhm 16375 |
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