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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 2212 |
. 2
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5 | 1, 4 | eqtr3i 2212 |
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 1458 ax-gen 1460 ax-4 1521 ax-17 1537 ax-ext 2171 |
This theorem depends on definitions: df-bi 117 df-cleq 2182 |
This theorem is referenced by: indif2 3394 resdm2 5137 co01 5161 cocnvres 5171 undifdc 6953 1mhlfehlf 9168 rei 10943 resqrexlemover 11054 cos1bnd 11802 6gcd4e2 12031 3lcm2e6 12195 cosq23lt0 14731 sincos4thpi 14738 sincos6thpi 14740 cosq34lt1 14748 |
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