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Mirrors > Home > ILE Home > Th. List > nfdisjv | Unicode version |
Description: Bound-variable hypothesis builder for disjoint collection. (Contributed by Jim Kingdon, 19-Aug-2018.) |
Ref | Expression |
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nfdisjv.1 |
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nfdisjv.2 |
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Ref | Expression |
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nfdisjv |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | dfdisj2 3830 |
. 2
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2 | nfcv 2229 |
. . . . . 6
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3 | nfdisjv.1 |
. . . . . 6
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4 | 2, 3 | nfel 2238 |
. . . . 5
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5 | nfdisjv.2 |
. . . . . 6
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6 | 5 | nfcri 2223 |
. . . . 5
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7 | 4, 6 | nfan 1503 |
. . . 4
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8 | 7 | nfmo 1969 |
. . 3
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9 | 8 | nfal 1514 |
. 2
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10 | 1, 9 | nfxfr 1409 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-io 666 ax-5 1382 ax-7 1383 ax-gen 1384 ax-ie1 1428 ax-ie2 1429 ax-8 1441 ax-10 1442 ax-11 1443 ax-i12 1444 ax-bndl 1445 ax-4 1446 ax-17 1465 ax-i9 1469 ax-ial 1473 ax-i5r 1474 ax-ext 2071 |
This theorem depends on definitions: df-bi 116 df-tru 1293 df-nf 1396 df-sb 1694 df-eu 1952 df-mo 1953 df-cleq 2082 df-clel 2085 df-nfc 2218 df-rmo 2368 df-disj 3829 |
This theorem is referenced by: (None) |
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