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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 3059 | . 2 |
4 | nfra1 2443 | . 2 | |
5 | 3, 4 | nfxfr 1435 | 1 |
Colors of variables: wff set class |
Syntax hints: wnf 1421 wcel 1465 wnfc 2245 wral 2393 wss 3041 |
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 683 ax-5 1408 ax-7 1409 ax-gen 1410 ax-ie1 1454 ax-ie2 1455 ax-8 1467 ax-10 1468 ax-11 1469 ax-i12 1470 ax-bndl 1471 ax-4 1472 ax-17 1491 ax-i9 1495 ax-ial 1499 ax-i5r 1500 ax-ext 2099 |
This theorem depends on definitions: df-bi 116 df-nf 1422 df-sb 1721 df-clab 2104 df-cleq 2110 df-clel 2113 df-nfc 2247 df-ral 2398 df-in 3047 df-ss 3054 |
This theorem is referenced by: ssrexf 3129 nfpw 3493 ssiun2s 3827 triun 4009 ssopab2b 4168 nffrfor 4240 tfis 4467 nfrel 4594 nffun 5116 nff 5239 fvmptssdm 5473 ssoprab2b 5796 nfsum1 11093 nfsum 11094 |
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