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Mirrors > Home > ILE Home > Th. List > 3eqtr3ri | Unicode version |
Description: An inference from three chained equalities. (Contributed by NM, 15-Aug-2004.) |
Ref | Expression |
---|---|
3eqtr3i.1 |
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3eqtr3i.2 |
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3eqtr3i.3 |
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Ref | Expression |
---|---|
3eqtr3ri |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 3eqtr3i.3 |
. 2
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2 | 3eqtr3i.1 |
. . 3
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3 | 3eqtr3i.2 |
. . 3
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4 | 2, 3 | eqtr3i 2163 |
. 2
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5 | 1, 4 | eqtr3i 2163 |
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 105 ax-ia2 106 ax-ia3 107 ax-5 1424 ax-gen 1426 ax-4 1488 ax-17 1507 ax-ext 2122 |
This theorem depends on definitions: df-bi 116 df-cleq 2133 |
This theorem is referenced by: indif2 3325 resdm2 5037 co01 5061 cocnvres 5071 undifdc 6820 1mhlfehlf 8962 rei 10703 resqrexlemover 10814 cos1bnd 11502 6gcd4e2 11719 3lcm2e6 11874 cosq23lt0 12962 sincos4thpi 12969 sincos6thpi 12971 cosq34lt1 12979 |
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