| Colors of
variables: wff
setvar class |
| Syntax hints:
→ wi 4 class class class wbr 5141
‘cfv 6537 Walkscwlks 29362 Trailsctrls 29456 EulerPathsceupth 29959 |
| This theorem was proved from axioms:
ax-mp 5 ax-1 6 ax-2 7
ax-3 8 ax-gen 1789 ax-4 1803 ax-5 1905
ax-6 1963 ax-7 2003 ax-8 2100
ax-9 2108 ax-10 2129 ax-11 2146 ax-12 2163 ax-ext 2697 ax-sep 5292 ax-nul 5299 ax-pr 5420 |
| This theorem depends on definitions:
df-bi 206 df-an 396
df-or 845 df-3an 1086 df-tru 1536 df-fal 1546 df-ex 1774 df-nf 1778 df-sb 2060 df-mo 2528 df-eu 2557 df-clab 2704 df-cleq 2718 df-clel 2804 df-nfc 2879 df-ne 2935 df-ral 3056 df-rex 3065 df-rab 3427 df-v 3470 df-sbc 3773 df-csb 3889 df-dif 3946 df-un 3948 df-in 3950 df-ss 3960 df-nul 4318 df-if 4524 df-sn 4624 df-pr 4626 df-op 4630 df-uni 4903 df-br 5142 df-opab 5204 df-mpt 5225 df-id 5567 df-xp 5675 df-rel 5676 df-cnv 5677 df-co 5678 df-dm 5679 df-rn 5680 df-res 5681 df-ima 5682 df-iota 6489 df-fun 6539 df-fn 6540 df-fo 6543 df-fv 6545 df-ov 7408 df-wlks 29365 df-trls 29458 df-eupth 29960 |
| This theorem is referenced by: eupthpf
29975 eupthp1
29978 eupth2eucrct
29979 eupth2lem3
29998 eupth2lems
30000 eupth2
30001 eucrct2eupth1
30006 |
