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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 3846 |
. 2
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2 | nfcv 2235 |
. . . . . 6
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3 | nfdisjv.1 |
. . . . . 6
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4 | 2, 3 | nfel 2244 |
. . . . 5
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5 | nfdisjv.2 |
. . . . . 6
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6 | 5 | nfcri 2229 |
. . . . 5
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7 | 4, 6 | nfan 1509 |
. . . 4
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8 | 7 | nfmo 1975 |
. . 3
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9 | 8 | nfal 1520 |
. 2
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10 | 1, 9 | nfxfr 1415 |
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 668 ax-5 1388 ax-7 1389 ax-gen 1390 ax-ie1 1434 ax-ie2 1435 ax-8 1447 ax-10 1448 ax-11 1449 ax-i12 1450 ax-bndl 1451 ax-4 1452 ax-17 1471 ax-i9 1475 ax-ial 1479 ax-i5r 1480 ax-ext 2077 |
This theorem depends on definitions: df-bi 116 df-tru 1299 df-nf 1402 df-sb 1700 df-eu 1958 df-mo 1959 df-cleq 2088 df-clel 2091 df-nfc 2224 df-rmo 2378 df-disj 3845 |
This theorem is referenced by: (None) |
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