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Mirrors > Home > NFE Home > Th. List > ralnex | Unicode version |
Description: Relationship between restricted universal and existential quantifiers. (Contributed by NM, 21-Jan-1997.) |
Ref | Expression |
---|---|
ralnex |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-ral 2619 |
. 2
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2 | alinexa 1578 |
. . 3
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3 | df-rex 2620 |
. . 3
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4 | 2, 3 | xchbinxr 302 |
. 2
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5 | 1, 4 | bitri 240 |
1
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Colors of variables: wff setvar class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
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: dfrex2 2627 ralinexa 2659 nrex 2716 nrexdv 2717 r19.43 2766 rabeq0 3572 iindif2 4035 evenodddisj 4516 rexiunxp 4824 |
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