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Mirrors > Home > MPE Home > Th. List > com4l | Unicode version |
Description: Commutation of antecedents. Rotate left. (Contributed by NM, 25-Apr-1994.) (Proof shortened by Mel L. O'Cat, 15-Aug-2004.) |
Ref | Expression |
---|---|
com4.1 |
Ref | Expression |
---|---|
com4l |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | com4.1 | . . 3 | |
2 | 1 | com3l 81 | . 2 |
3 | 2 | com34 83 | 1 |
Colors of variables: wff setvar class |
Syntax hints: -> wi 4 |
This theorem is referenced by: com4t 85 com4r 86 com14 88 com5l 92 3impd 1210 merco2 1569 onint 6630 oalimcl 7228 oeordsuc 7262 fisup2g 7947 zorn2lem7 8903 inar1 9174 rpnnen1lem5 11241 expnbnd 12295 facwordi 12367 brfi1uzind 12532 unbenlem 14426 fiinopn 19410 cmpsublem 19899 bwthOLD 19911 dvcnvrelem1 22418 axcontlem4 24270 axcont 24279 spansncol 26486 atcvat4i 27316 sumdmdlem 27337 nocvxminlem 29450 broutsideof2 29772 pm2.43cbi 33288 cvrat4 35167 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 |
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