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Mirrors > Home > MPE Home > Th. List > trlsegvdeglem4 | Structured version Visualization version Unicode version |
Description: Lemma for trlsegvdeg 27087. (Contributed by AV, 21-Feb-2021.) |
Ref | Expression |
---|---|
trlsegvdeg.v | Vtx |
trlsegvdeg.i | iEdg |
trlsegvdeg.f | |
trlsegvdeg.n | ..^ |
trlsegvdeg.u | |
trlsegvdeg.w | Trails |
trlsegvdeg.vx | Vtx |
trlsegvdeg.vy | Vtx |
trlsegvdeg.vz | Vtx |
trlsegvdeg.ix | iEdg ..^ |
trlsegvdeg.iy | iEdg |
trlsegvdeg.iz | iEdg |
Ref | Expression |
---|---|
trlsegvdeglem4 | iEdg ..^ |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | trlsegvdeg.ix | . . 3 iEdg ..^ | |
2 | 1 | dmeqd 5326 | . 2 iEdg ..^ |
3 | dmres 5419 | . 2 ..^ ..^ | |
4 | 2, 3 | syl6eq 2672 | 1 iEdg ..^ |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wceq 1483 wcel 1990 cin 3573 csn 4177 cop 4183 class class class wbr 4653 cdm 5114 cres 5116 cima 5117 wfun 5882 cfv 5888 (class class class)co 6650 cc0 9936 cfz 12326 ..^cfzo 12465 chash 13117 Vtxcvtx 25874 iEdgciedg 25875 Trailsctrls 26587 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1722 ax-4 1737 ax-5 1839 ax-6 1888 ax-7 1935 ax-9 1999 ax-10 2019 ax-11 2034 ax-12 2047 ax-13 2246 ax-ext 2602 ax-sep 4781 ax-nul 4789 ax-pr 4906 |
This theorem depends on definitions: df-bi 197 df-or 385 df-an 386 df-3an 1039 df-tru 1486 df-ex 1705 df-nf 1710 df-sb 1881 df-clab 2609 df-cleq 2615 df-clel 2618 df-nfc 2753 df-ral 2917 df-rex 2918 df-rab 2921 df-v 3202 df-dif 3577 df-un 3579 df-in 3581 df-ss 3588 df-nul 3916 df-if 4087 df-sn 4178 df-pr 4180 df-op 4184 df-br 4654 df-opab 4713 df-xp 5120 df-dm 5124 df-res 5126 |
This theorem is referenced by: trlsegvdeglem6 27085 trlsegvdeg 27087 |
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