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Mirrors > Home > ILE 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 2485 | . 2 |
3 | ralnex 2426 | . 2 | |
4 | 2, 3 | mpbi 144 | 1 |
Colors of variables: wff set class |
Syntax hints: wn 3 wi 4 wcel 1480 wral 2416 wrex 2417 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-in1 603 ax-in2 604 ax-5 1423 ax-gen 1425 ax-ie2 1470 |
This theorem depends on definitions: df-bi 116 df-tru 1334 df-fal 1337 df-ral 2421 df-rex 2422 |
This theorem is referenced by: rex0 3380 iun0 3869 frec0g 6294 nominpos 8957 sqrt2irr 11840 exmidsbthrlem 13217 |
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