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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 2200 |
. 2
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5 | 1, 4 | eqtr3i 2200 |
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 ax-ia2 107 ax-ia3 108 ax-5 1447 ax-gen 1449 ax-4 1510 ax-17 1526 ax-ext 2159 |
This theorem depends on definitions: df-bi 117 df-cleq 2170 |
This theorem is referenced by: indif2 3379 resdm2 5115 co01 5139 cocnvres 5149 undifdc 6917 1mhlfehlf 9123 rei 10889 resqrexlemover 11000 cos1bnd 11748 6gcd4e2 11976 3lcm2e6 12140 cosq23lt0 13914 sincos4thpi 13921 sincos6thpi 13923 cosq34lt1 13931 |
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