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Mirrors > Home > NFE 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 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eu5 2242 | . 2 | |
2 | df-reu 2621 | . 2 | |
3 | df-rex 2620 | . . 3 | |
4 | df-rmo 2622 | . . 3 | |
5 | 3, 4 | anbi12i 678 | . 2 |
6 | 1, 2, 5 | 3bitr4i 268 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wb 176 wa 358 wex 1541 wcel 1710 weu 2204 wmo 2205 wrex 2615 wreu 2616 wrmo 2617 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-3 7 ax-mp 8 ax-gen 1546 ax-5 1557 ax-17 1616 ax-9 1654 ax-8 1675 ax-6 1729 ax-7 1734 ax-11 1746 ax-12 1925 |
This theorem depends on definitions: df-bi 177 df-or 359 df-an 360 df-tru 1319 df-ex 1542 df-nf 1545 df-sb 1649 df-eu 2208 df-mo 2209 df-rex 2620 df-reu 2621 df-rmo 2622 |
This theorem is referenced by: reurex 2825 reurmo 2826 reu4 3030 reueq 3033 fncnv 5158 |
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