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Mirrors > Home > ILE Home > Th. List > xnegpnf | Unicode version |
Description: Minus . Remark of [BourbakiTop1] p. IV.15. (Contributed by FL, 26-Dec-2011.) |
Ref | Expression |
---|---|
xnegpnf |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-xneg 8843 | . 2 | |
2 | eqid 2081 | . . 3 | |
3 | 2 | iftruei 3357 | . 2 |
4 | 1, 3 | eqtri 2101 | 1 |
Colors of variables: wff set class |
Syntax hints: wceq 1284 cif 3351 cpnf 7150 cmnf 7151 cneg 7280 cxne 8840 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 ax-in2 577 ax-io 662 ax-5 1376 ax-7 1377 ax-gen 1378 ax-ie1 1422 ax-ie2 1423 ax-8 1435 ax-11 1437 ax-4 1440 ax-17 1459 ax-i9 1463 ax-ial 1467 ax-i5r 1468 ax-ext 2063 |
This theorem depends on definitions: df-bi 115 df-nf 1390 df-sb 1686 df-clab 2068 df-cleq 2074 df-clel 2077 df-if 3352 df-xneg 8843 |
This theorem is referenced by: xnegcl 8899 xnegneg 8900 xltnegi 8902 |
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