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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 | |
nffv.2 |
Ref | Expression |
---|---|
nffv |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-fv 5126 | . 2 | |
2 | nffv.2 | . . . 4 | |
3 | nffv.1 | . . . 4 | |
4 | nfcv 2279 | . . . 4 | |
5 | 2, 3, 4 | nfbr 3969 | . . 3 |
6 | 5 | nfiotaw 5087 | . 2 |
7 | 1, 6 | nfcxfr 2276 | 1 |
Colors of variables: wff set class |
Syntax hints: wnfc 2266 class class class wbr 3924 cio 5081 cfv 5118 |
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 698 ax-5 1423 ax-7 1424 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-8 1482 ax-10 1483 ax-11 1484 ax-i12 1485 ax-bndl 1486 ax-4 1487 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-i5r 1515 ax-ext 2119 |
This theorem depends on definitions: df-bi 116 df-3an 964 df-tru 1334 df-nf 1437 df-sb 1736 df-clab 2124 df-cleq 2130 df-clel 2133 df-nfc 2268 df-rex 2420 df-v 2683 df-un 3070 df-sn 3528 df-pr 3529 df-op 3531 df-uni 3732 df-br 3925 df-iota 5083 df-fv 5126 |
This theorem is referenced by: nffvmpt1 5425 nffvd 5426 dffn5imf 5469 fvmptssdm 5498 fvmptf 5506 eqfnfv2f 5515 ralrnmpt 5555 rexrnmpt 5556 ffnfvf 5572 funiunfvdmf 5658 dff13f 5664 nfiso 5700 nfrecs 6197 nffrec 6286 nfseq 10221 seq3f1olemstep 10267 seq3f1olemp 10268 nfsum1 11118 nfsum 11119 fsumrelem 11233 nfcprod1 11316 nfcprod 11317 ctiunctlemfo 11941 ctiunct 11942 cnmpt11 12441 cnmpt21 12449 |
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