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Mirrors > Home > ILE Home > Th. List > reu5 | Unicode version |
Description: Restricted uniqueness in terms of "at most one". (Contributed by NM, 23-May-1999.) (Revised by NM, 16-Jun-2017.) |
Ref | Expression |
---|---|
reu5 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eu5 2089 |
. 2
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2 | df-reu 2479 |
. 2
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3 | df-rex 2478 |
. . 3
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4 | df-rmo 2480 |
. . 3
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5 | 3, 4 | anbi12i 460 |
. 2
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6 | 1, 2, 5 | 3bitr4i 212 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 106 ax-ia2 107 ax-ia3 108 ax-io 710 ax-5 1458 ax-7 1459 ax-gen 1460 ax-ie1 1504 ax-ie2 1505 ax-8 1515 ax-10 1516 ax-11 1517 ax-i12 1518 ax-bndl 1520 ax-4 1521 ax-17 1537 ax-i9 1541 ax-ial 1545 ax-i5r 1546 |
This theorem depends on definitions: df-bi 117 df-nf 1472 df-sb 1774 df-eu 2045 df-mo 2046 df-rex 2478 df-reu 2479 df-rmo 2480 |
This theorem is referenced by: reurex 2712 reurmo 2713 reu4 2954 reueq 2959 reusv1 4489 fncnv 5320 moriotass 5902 supeuti 7053 infeuti 7088 lteupri 7677 elrealeu 7889 rereceu 7949 exbtwnz 10319 rersqreu 11172 divalglemeunn 12062 divalglemeuneg 12064 bezoutlemeu 12144 pw2dvdseu 12306 ismgmid 12960 mndideu 13007 dedekindeu 14777 dedekindicclemicc 14786 |
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