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Mirrors > Home > NFE Home > Th. List > nrex | Unicode version |
Description: Inference adding restricted existential quantifier to negated wff. (Contributed by NM, 16-Oct-2003.) |
Ref | Expression |
---|---|
nrex.1 |
Ref | Expression |
---|---|
nrex |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nrex.1 | . . 3 | |
2 | 1 | rgen 2679 | . 2 |
3 | ralnex 2624 | . 2 | |
4 | 2, 3 | mpbi 199 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wn 3 wi 4 wcel 1710 wral 2614 wrex 2615 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1546 ax-5 1557 |
This theorem depends on definitions: df-bi 177 df-an 360 df-ex 1542 df-ral 2619 df-rex 2620 |
This theorem is referenced by: rex0 3563 iun0 4022 0nelsuc 4400 addcnul1 4452 nulnnn 4556 0cnelphi 4597 proj1op 4600 proj2op 4601 nenpw1pwlem2 6085 nchoice 6308 fnfreclem2 6318 |
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