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Mirrors > Home > QLE Home > Th. List > i33tr1 | Unicode version |
Description: Transitive inference useful for introducing definitions. |
Ref | Expression |
---|---|
i33tr1.1 | |
i33tr1.2 | |
i33tr1.3 |
Ref | Expression |
---|---|
i33tr1 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | i33tr1.2 | . . 3 | |
2 | i33tr1.1 | . . 3 | |
3 | 1, 2 | bi3tr 527 | . 2 |
4 | i33tr1.3 | . . 3 | |
5 | 4 | ax-r1 35 | . 2 |
6 | 3, 5 | i3btr 528 | 1 |
Colors of variables: term |
Syntax hints: wb 1 wt 8 wi3 14 |
This theorem was proved from axioms: ax-a1 30 ax-a2 31 ax-a4 33 ax-a5 34 ax-r1 35 ax-r2 36 ax-r4 37 ax-r5 38 |
This theorem depends on definitions: df-b 39 df-a 40 df-t 41 df-f 42 df-i3 46 |
This theorem is referenced by: i33tr2 530 i3con1 531 i3ran 535 i3lan 536 |
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