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Mirrors > Home > ILE Home > Th. List > qliftel1 | Unicode version |
Description: Elementhood in the relation . (Contributed by Mario Carneiro, 23-Dec-2016.) |
Ref | Expression |
---|---|
qlift.1 | |
qlift.2 | |
qlift.3 | |
qlift.4 |
Ref | Expression |
---|---|
qliftel1 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | qlift.1 | . 2 | |
2 | qlift.2 | . . 3 | |
3 | qlift.3 | . . 3 | |
4 | qlift.4 | . . 3 | |
5 | 1, 2, 3, 4 | qliftlem 6558 | . 2 |
6 | 1, 5, 2 | fliftel1 5744 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 wceq 1335 wcel 2128 cvv 2712 cop 3563 class class class wbr 3965 cmpt 4025 crn 4587 wer 6477 cec 6478 cqs 6479 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-io 699 ax-5 1427 ax-7 1428 ax-gen 1429 ax-ie1 1473 ax-ie2 1474 ax-8 1484 ax-10 1485 ax-11 1486 ax-i12 1487 ax-bndl 1489 ax-4 1490 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-i5r 1515 ax-13 2130 ax-14 2131 ax-ext 2139 ax-sep 4082 ax-pow 4135 ax-pr 4169 ax-un 4393 |
This theorem depends on definitions: df-bi 116 df-3an 965 df-tru 1338 df-nf 1441 df-sb 1743 df-eu 2009 df-mo 2010 df-clab 2144 df-cleq 2150 df-clel 2153 df-nfc 2288 df-ral 2440 df-rex 2441 df-v 2714 df-sbc 2938 df-csb 3032 df-un 3106 df-in 3108 df-ss 3115 df-pw 3545 df-sn 3566 df-pr 3567 df-op 3569 df-uni 3773 df-br 3966 df-opab 4026 df-mpt 4027 df-xp 4592 df-rel 4593 df-cnv 4594 df-dm 4596 df-rn 4597 df-res 4598 df-ima 4599 df-er 6480 df-ec 6482 df-qs 6486 |
This theorem is referenced by: (None) |
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