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Mirrors > Home > NFE Home > Th. List > dfral2 | Unicode version |
Description: Relationship between restricted universal and existential quantifiers. (Contributed by NM, 21-Jan-1997.) |
Ref | Expression |
---|---|
dfral2 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | rexnal 2625 | . 2 | |
2 | 1 | con2bii 322 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wn 3 wb 176 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 |
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: dfpss4 3888 ncfinraiselem2 4480 evenodddisjlem1 4515 nnadjoinlem1 4519 nnpweqlem1 4522 tfinnnlem1 4533 spfinex 4537 extex 5915 |
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