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Mirrors > Home > ILE Home > Th. List > nfxp | Unicode version |
Description: Bound-variable hypothesis builder for cross product. (Contributed by NM, 15-Sep-2003.) (Revised by Mario Carneiro, 15-Oct-2016.) |
Ref | Expression |
---|---|
nfxp.1 | |
nfxp.2 |
Ref | Expression |
---|---|
nfxp |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-xp 4351 | . 2 | |
2 | nfxp.1 | . . . . 5 | |
3 | 2 | nfcri 2172 | . . . 4 |
4 | nfxp.2 | . . . . 5 | |
5 | 4 | nfcri 2172 | . . . 4 |
6 | 3, 5 | nfan 1457 | . . 3 |
7 | 6 | nfopab 3825 | . 2 |
8 | 1, 7 | nfcxfr 2175 | 1 |
Colors of variables: wff set class |
Syntax hints: wa 97 wcel 1393 wnfc 2165 copab 3817 cxp 4343 |
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-opab 3819 df-xp 4351 |
This theorem is referenced by: opeliunxp 4395 nfres 4614 mpt2mptsx 5823 dmmpt2ssx 5825 fmpt2x 5826 |
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