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Mirrors > Home > ILE Home > Th. List > nffun | Unicode version |
Description: Bound-variable hypothesis builder for a function. (Contributed by NM, 30-Jan-2004.) |
Ref | Expression |
---|---|
nffun.1 |
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Ref | Expression |
---|---|
nffun |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-fun 5083 |
. 2
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2 | nffun.1 |
. . . 4
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3 | 2 | nfrel 4584 |
. . 3
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4 | 2 | nfcnv 4678 |
. . . . 5
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5 | 2, 4 | nfco 4664 |
. . . 4
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6 | nfcv 2255 |
. . . 4
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7 | 5, 6 | nfss 3056 |
. . 3
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8 | 3, 7 | nfan 1527 |
. 2
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9 | 1, 8 | nfxfr 1433 |
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 681 ax-5 1406 ax-7 1407 ax-gen 1408 ax-ie1 1452 ax-ie2 1453 ax-8 1465 ax-10 1466 ax-11 1467 ax-i12 1468 ax-bndl 1469 ax-4 1470 ax-17 1489 ax-i9 1493 ax-ial 1497 ax-i5r 1498 ax-ext 2097 |
This theorem depends on definitions: df-bi 116 df-3an 947 df-tru 1317 df-nf 1420 df-sb 1719 df-clab 2102 df-cleq 2108 df-clel 2111 df-nfc 2244 df-ral 2395 df-v 2659 df-un 3041 df-in 3043 df-ss 3050 df-sn 3499 df-pr 3500 df-op 3502 df-br 3896 df-opab 3950 df-rel 4506 df-cnv 4507 df-co 4508 df-fun 5083 |
This theorem is referenced by: nffn 5177 nff1 5284 fliftfun 5651 |
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