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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 4910 | . 2 | |
2 | nffv.2 | . . . 4 | |
3 | nffv.1 | . . . 4 | |
4 | nfcv 2178 | . . . 4 | |
5 | 2, 3, 4 | nfbr 3808 | . . 3 |
6 | 5 | nfiotaxy 4871 | . 2 |
7 | 1, 6 | nfcxfr 2175 | 1 |
Colors of variables: wff set class |
Syntax hints: wnfc 2165 class class class wbr 3764 cio 4865 cfv 4902 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 ax-io 630 ax-5 1336 ax-7 1337 ax-gen 1338 ax-ie1 1382 ax-ie2 1383 ax-8 1395 ax-10 1396 ax-11 1397 ax-i12 1398 ax-bndl 1399 ax-4 1400 ax-17 1419 ax-i9 1423 ax-ial 1427 ax-i5r 1428 ax-ext 2022 |
This theorem depends on definitions: df-bi 110 df-3an 887 df-tru 1246 df-nf 1350 df-sb 1646 df-clab 2027 df-cleq 2033 df-clel 2036 df-nfc 2167 df-rex 2312 df-v 2559 df-un 2922 df-sn 3381 df-pr 3382 df-op 3384 df-uni 3581 df-br 3765 df-iota 4867 df-fv 4910 |
This theorem is referenced by: nffvmpt1 5186 nffvd 5187 dffn5imf 5228 fvmptssdm 5255 fvmptf 5263 eqfnfv2f 5269 ralrnmpt 5309 rexrnmpt 5310 ffnfvf 5324 funiunfvdmf 5403 dff13f 5409 nfiso 5446 nfrecs 5922 nffrec 5982 nfiseq 9218 nfsum1 9875 nfsum 9876 |
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