Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
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 2140 | . 2 |
5 | 1, 4 | eqtr3i 2140 | 1 |
Colors of variables: wff set class |
Syntax hints: wceq 1316 |
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 1408 ax-gen 1410 ax-4 1472 ax-17 1491 ax-ext 2099 |
This theorem depends on definitions: df-bi 116 df-cleq 2110 |
This theorem is referenced by: indif2 3290 resdm2 4999 co01 5023 cocnvres 5033 undifdc 6780 1mhlfehlf 8906 rei 10639 resqrexlemover 10750 cos1bnd 11393 6gcd4e2 11610 3lcm2e6 11765 cosq23lt0 12841 sincos4thpi 12848 sincos6thpi 12850 cosq34lt1 12858 |
Copyright terms: Public domain | W3C validator |