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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 |
---|---|
nffv |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-fv 5036 |
. 2
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2 | nffv.2 |
. . . 4
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3 | nffv.1 |
. . . 4
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4 | nfcv 2229 |
. . . 4
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5 | 2, 3, 4 | nfbr 3895 |
. . 3
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6 | 5 | nfiotaxy 4997 |
. 2
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7 | 1, 6 | nfcxfr 2226 |
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-3an 927 df-tru 1293 df-nf 1396 df-sb 1694 df-clab 2076 df-cleq 2082 df-clel 2085 df-nfc 2218 df-rex 2366 df-v 2622 df-un 3004 df-sn 3456 df-pr 3457 df-op 3459 df-uni 3660 df-br 3852 df-iota 4993 df-fv 5036 |
This theorem is referenced by: nffvmpt1 5329 nffvd 5330 dffn5imf 5372 fvmptssdm 5400 fvmptf 5408 eqfnfv2f 5415 ralrnmpt 5455 rexrnmpt 5456 ffnfvf 5471 funiunfvdmf 5557 dff13f 5563 nfiso 5599 nfrecs 6086 nffrec 6175 nfiseq 9929 seq3f1olemstep 9991 seq3f1olemp 9992 nfsum1 10806 nfsum 10807 fsumrelem 10926 |
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