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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 | |
3eqtr3i.2 | |
3eqtr3i.3 |
Ref | Expression |
---|---|
3eqtr3ri |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 3eqtr3i.3 | . 2 | |
2 | 3eqtr3i.1 | . . 3 | |
3 | 3eqtr3i.2 | . . 3 | |
4 | 2, 3 | eqtr3i 2162 | . 2 |
5 | 1, 4 | eqtr3i 2162 | 1 |
Colors of variables: wff set class |
Syntax hints: wceq 1331 |
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 1423 ax-gen 1425 ax-4 1487 ax-17 1506 ax-ext 2121 |
This theorem depends on definitions: df-bi 116 df-cleq 2132 |
This theorem is referenced by: indif2 3320 resdm2 5029 co01 5053 cocnvres 5063 undifdc 6812 1mhlfehlf 8938 rei 10671 resqrexlemover 10782 cos1bnd 11466 6gcd4e2 11683 3lcm2e6 11838 cosq23lt0 12914 sincos4thpi 12921 sincos6thpi 12923 cosq34lt1 12931 |
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