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Mirrors > Home > NFE Home > Th. List > reu4 | Unicode version |
Description: Restricted uniqueness using implicit substitution. (Contributed by NM, 23-Nov-1994.) |
Ref | Expression |
---|---|
rmo4.1 |
Ref | Expression |
---|---|
reu4 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | reu5 2824 | . 2 | |
2 | rmo4.1 | . . . 4 | |
3 | 2 | rmo4 3029 | . . 3 |
4 | 3 | anbi2i 675 | . 2 |
5 | 1, 4 | bitri 240 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wb 176 wa 358 wral 2614 wrex 2615 wreu 2616 wrmo 2617 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 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 ax-ext 2334 |
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-cleq 2346 df-clel 2349 df-ral 2619 df-rex 2620 df-reu 2621 df-rmo 2622 |
This theorem is referenced by: reuind 3039 vfinnc 4471 nnpw1ex 4484 ncspw1eu 6159 |
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