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Mirrors > Home > ILE Home > Th. List > 3imtr4d | Unicode version |
Description: More general version of 3imtr4i 200. Useful for converting conditional definitions in a formula. (Contributed by NM, 26-Oct-1995.) |
Ref | Expression |
---|---|
3imtr4d.1 | |
3imtr4d.2 | |
3imtr4d.3 |
Ref | Expression |
---|---|
3imtr4d |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 3imtr4d.2 | . 2 | |
2 | 3imtr4d.1 | . . 3 | |
3 | 3imtr4d.3 | . . 3 | |
4 | 2, 3 | sylibrd 168 | . 2 |
5 | 1, 4 | sylbid 149 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 104 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 |
This theorem depends on definitions: df-bi 116 |
This theorem is referenced by: onsucelsucr 4424 unielrel 5066 ovmpos 5894 caofrss 6006 caoftrn 6007 f1o2ndf1 6125 nnaord 6405 nnmord 6413 oviec 6535 pmss12g 6569 fiss 6865 pm54.43 7046 ltsopi 7128 lttrsr 7570 ltsosr 7572 aptisr 7587 mulextsr1 7589 axpre-mulext 7696 axltwlin 7832 axlttrn 7833 axltadd 7834 axmulgt0 7836 letr 7847 eqord1 8245 remulext1 8361 mulext1 8374 recexap 8414 prodge0 8612 lt2msq 8644 nnge1 8743 zltp1le 9108 uzss 9346 eluzp1m1 9349 xrletr 9591 ixxssixx 9685 zesq 10410 expcanlem 10462 expcan 10463 nn0opthd 10468 maxleast 10985 climshftlemg 11071 efler 11405 dvds1lem 11504 bezoutlemzz 11690 algcvg 11729 eucalgcvga 11739 rpexp12i 11833 crth 11900 tgss 12232 neipsm 12323 ssrest 12351 |
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