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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 9559 | . 2 | |
2 | eqid 2139 | . . 3 | |
3 | 2 | iftruei 3480 | . 2 |
4 | 1, 3 | eqtri 2160 | 1 |
Colors of variables: wff set class |
Syntax hints: wceq 1331 cif 3474 cpnf 7797 cmnf 7798 cneg 7934 cxne 9556 |
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-in2 604 ax-io 698 ax-5 1423 ax-7 1424 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-8 1482 ax-11 1484 ax-4 1487 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-i5r 1515 ax-ext 2121 |
This theorem depends on definitions: df-bi 116 df-nf 1437 df-sb 1736 df-clab 2126 df-cleq 2132 df-clel 2135 df-if 3475 df-xneg 9559 |
This theorem is referenced by: xnegcl 9615 xnegneg 9616 xltnegi 9618 xnegid 9642 xnegdi 9651 xaddass2 9653 xsubge0 9664 xposdif 9665 xlesubadd 9666 xblss2ps 12573 xblss2 12574 |
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