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Mirrors > Home > ILE Home > Th. List > nffv | Unicode version |
Description: Bound-variable hypothesis builder for function value. (Contributed by NM, 14-Nov-1995.) (Revised by Mario Carneiro, 15-Oct-2016.) |
Ref | Expression |
---|---|
nffv.1 |
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nffv.2 |
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Ref | Expression |
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nffv |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-fv 5139 |
. 2
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2 | nffv.2 |
. . . 4
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3 | nffv.1 |
. . . 4
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4 | nfcv 2282 |
. . . 4
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5 | 2, 3, 4 | nfbr 3982 |
. . 3
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6 | 5 | nfiotaw 5100 |
. 2
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7 | 1, 6 | nfcxfr 2279 |
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 105 ax-ia2 106 ax-ia3 107 ax-io 699 ax-5 1424 ax-7 1425 ax-gen 1426 ax-ie1 1470 ax-ie2 1471 ax-8 1483 ax-10 1484 ax-11 1485 ax-i12 1486 ax-bndl 1487 ax-4 1488 ax-17 1507 ax-i9 1511 ax-ial 1515 ax-i5r 1516 ax-ext 2122 |
This theorem depends on definitions: df-bi 116 df-3an 965 df-tru 1335 df-nf 1438 df-sb 1737 df-clab 2127 df-cleq 2133 df-clel 2136 df-nfc 2271 df-rex 2423 df-v 2691 df-un 3080 df-sn 3538 df-pr 3539 df-op 3541 df-uni 3745 df-br 3938 df-iota 5096 df-fv 5139 |
This theorem is referenced by: nffvmpt1 5440 nffvd 5441 dffn5imf 5484 fvmptssdm 5513 fvmptf 5521 eqfnfv2f 5530 ralrnmpt 5570 rexrnmpt 5571 ffnfvf 5587 funiunfvdmf 5673 dff13f 5679 nfiso 5715 nfrecs 6212 nffrec 6301 cc2 7099 nfseq 10259 seq3f1olemstep 10305 seq3f1olemp 10306 nfsum1 11157 nfsum 11158 fsumrelem 11272 nfcprod1 11355 nfcprod 11356 ctiunctlemfo 11988 ctiunct 11989 cnmpt11 12491 cnmpt21 12499 |
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