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Mirrors > Home > ILE Home > Th. List > nfuni | Unicode version |
Description: Bound-variable hypothesis builder for union. (Contributed by NM, 30-Dec-1996.) (Proof shortened by Andrew Salmon, 27-Aug-2011.) |
Ref | Expression |
---|---|
nfuni.1 |
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Ref | Expression |
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nfuni |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | dfuni2 3825 |
. 2
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2 | nfuni.1 |
. . . 4
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3 | nfv 1538 |
. . . 4
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4 | 2, 3 | nfrexxy 2528 |
. . 3
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5 | 4 | nfab 2336 |
. 2
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6 | 1, 5 | nfcxfr 2328 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 106 ax-ia2 107 ax-ia3 108 ax-io 710 ax-5 1457 ax-7 1458 ax-gen 1459 ax-ie1 1503 ax-ie2 1504 ax-8 1514 ax-10 1515 ax-11 1516 ax-i12 1517 ax-bndl 1519 ax-4 1520 ax-17 1536 ax-i9 1540 ax-ial 1544 ax-i5r 1545 ax-ext 2170 |
This theorem depends on definitions: df-bi 117 df-tru 1366 df-nf 1471 df-sb 1773 df-clab 2175 df-cleq 2181 df-clel 2184 df-nfc 2320 df-rex 2473 df-uni 3824 |
This theorem is referenced by: nfiota1 5194 nfrecs 6325 nfsup 7008 |
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