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Mirrors > Home > QLE Home > Th. List > w3tr1 | Unicode version |
Description: Transitive inference useful for introducing definitions. |
Ref | Expression |
---|---|
w3tr1.1 | |
w3tr1.2 | |
w3tr1.3 |
Ref | Expression |
---|---|
w3tr1 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | w3tr1.2 | . 2 | |
2 | w3tr1.1 | . . 3 | |
3 | w3tr1.3 | . . . 4 | |
4 | 3 | wr1 197 | . . 3 |
5 | 2, 4 | wr2 371 | . 2 |
6 | 1, 5 | wr2 371 | 1 |
Colors of variables: term |
Syntax hints: wb 1 tb 5 wt 8 |
This theorem was proved from axioms: ax-a1 30 ax-a2 31 ax-a3 32 ax-a4 33 ax-a5 34 ax-r1 35 ax-r2 36 ax-r4 37 ax-r5 38 ax-wom 361 |
This theorem depends on definitions: df-b 39 df-a 40 df-t 41 df-f 42 df-i1 44 df-i2 45 df-le1 130 df-le2 131 |
This theorem is referenced by: w3tr2 375 wcomlem 382 wbctr 410 wcomcom5 420 wfh1 423 wfh2 424 wdid0id5 1109 wdid0id1 1110 wdid0id2 1111 wdid0id3 1112 |
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