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Mirrors > Home > NFE Home > Th. List > nrexdv | Unicode version |
Description: Deduction adding restricted existential quantifier to negated wff. (Contributed by NM, 16-Oct-2003.) |
Ref | Expression |
---|---|
nrexdv.1 |
Ref | Expression |
---|---|
nrexdv |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nrexdv.1 | . . 3 | |
2 | 1 | ralrimiva 2697 | . 2 |
3 | ralnex 2624 | . 2 | |
4 | 2, 3 | sylib 188 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wn 3 wi 4 wa 358 wcel 1710 wral 2614 wrex 2615 |
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-11 1746 |
This theorem depends on definitions: df-bi 177 df-an 360 df-ex 1542 df-nf 1545 df-ral 2619 df-rex 2620 |
This theorem is referenced by: nndisjeq 4429 ltfinirr 4457 nnadjoin 4520 tfinnn 4534 vfinncvntsp 4549 |
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