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Mirrors > Home > ILE Home > Th. List > nfss | Unicode version |
Description: If is not free in and , it is not free in . (Contributed by NM, 27-Dec-1996.) |
Ref | Expression |
---|---|
dfss2f.1 | |
dfss2f.2 |
Ref | Expression |
---|---|
nfss |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | dfss2f.1 | . . 3 | |
2 | dfss2f.2 | . . 3 | |
3 | 1, 2 | dfss3f 2937 | . 2 |
4 | nfra1 2355 | . 2 | |
5 | 3, 4 | nfxfr 1363 | 1 |
Colors of variables: wff set class |
Syntax hints: wnf 1349 wcel 1393 wnfc 2165 wral 2306 wss 2917 |
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-nf 1350 df-sb 1646 df-clab 2027 df-cleq 2033 df-clel 2036 df-nfc 2167 df-ral 2311 df-in 2924 df-ss 2931 |
This theorem is referenced by: nfpw 3371 ssiun2s 3701 triun 3867 ssopab2b 4013 nffrfor 4085 tfis 4306 nfrel 4425 nffun 4924 nff 5043 fvmptssdm 5255 ssoprab2b 5562 nfsum1 9875 nfsum 9876 |
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