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Mirrors > Home > NFE Home > Th. List > dfrex2 | Unicode version |
Description: Relationship between restricted universal and existential quantifiers. (Contributed by NM, 21-Jan-1997.) |
Ref | Expression |
---|---|
dfrex2 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ralnex 2624 |
. 2
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2 | 1 | con2bii 322 |
1
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Colors of variables: wff setvar class |
Syntax hints: ![]() ![]() ![]() ![]() |
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: nfrexd 2666 nfrex 2669 rexim 2718 r19.30 2756 r19.35 2758 cbvrexf 2830 rspcimedv 2957 sbcrext 3119 cbvrexcsf 3199 r19.9rzv 3644 rexiunxp 4824 rexxpf 4828 disjex 5823 nnc3n3p1 6278 |
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