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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 5236 |
. 2
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2 | nffv.2 |
. . . 4
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3 | nffv.1 |
. . . 4
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4 | nfcv 2329 |
. . . 4
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5 | 2, 3, 4 | nfbr 4061 |
. . 3
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6 | 5 | nfiotaw 5194 |
. 2
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7 | 1, 6 | nfcxfr 2326 |
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 106 ax-ia2 107 ax-ia3 108 ax-io 710 ax-5 1457 ax-7 1458 ax-gen 1459 ax-ie1 1503 ax-ie2 1504 ax-8 1514 ax-10 1515 ax-11 1516 ax-i12 1517 ax-bndl 1519 ax-4 1520 ax-17 1536 ax-i9 1540 ax-ial 1544 ax-i5r 1545 ax-ext 2169 |
This theorem depends on definitions: df-bi 117 df-3an 981 df-tru 1366 df-nf 1471 df-sb 1773 df-clab 2174 df-cleq 2180 df-clel 2183 df-nfc 2318 df-rex 2471 df-v 2751 df-un 3145 df-sn 3610 df-pr 3611 df-op 3613 df-uni 3822 df-br 4016 df-iota 5190 df-fv 5236 |
This theorem is referenced by: nffvmpt1 5538 nffvd 5539 dffn5imf 5584 fvmptssdm 5613 fvmptf 5621 eqfnfv2f 5630 ralrnmpt 5671 rexrnmpt 5672 ffnfvf 5688 funiunfvdmf 5778 dff13f 5784 nfiso 5820 nfrecs 6322 nffrec 6411 cc2 7280 nfseq 10469 seq3f1olemstep 10515 seq3f1olemp 10516 nfsum1 11378 nfsum 11379 fsumrelem 11493 nfcprod1 11576 nfcprod 11577 ctiunctlemfo 12454 ctiunct 12455 cnmpt11 14136 cnmpt21 14144 lgseisenlem2 14804 |
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