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Mirrors > Home > NFE Home > Th. List > nfrexd | Unicode version |
Description: Deduction version of nfrex 2670. (Contributed by Mario Carneiro, 14-Oct-2016.) |
Ref | Expression |
---|---|
nfrald.2 |
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nfrald.3 |
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nfrald.4 |
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Ref | Expression |
---|---|
nfrexd |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | dfrex2 2628 |
. 2
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2 | nfrald.2 |
. . . 4
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3 | nfrald.3 |
. . . 4
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4 | nfrald.4 |
. . . . 5
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5 | 4 | nfnd 1791 |
. . . 4
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6 | 2, 3, 5 | nfrald 2666 |
. . 3
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7 | 6 | nfnd 1791 |
. 2
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8 | 1, 7 | nfxfrd 1571 |
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 ax-17 1616 ax-9 1654 ax-8 1675 ax-6 1729 ax-7 1734 ax-11 1746 ax-12 1925 ax-ext 2334 |
This theorem depends on definitions: df-bi 177 df-an 360 df-tru 1319 df-ex 1542 df-nf 1545 df-sb 1649 df-cleq 2346 df-clel 2349 df-nfc 2479 df-ral 2620 df-rex 2621 |
This theorem is referenced by: nfunid 3899 |
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