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Mirrors > Home > ILE Home > Th. List > ltrelsr | Unicode version |
Description: Signed real 'less than' is a relation on signed reals. (Contributed by NM, 14-Feb-1996.) |
Ref | Expression |
---|---|
ltrelsr |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-ltr 7276 |
. 2
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2 | opabssxp 4512 |
. 2
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3 | 1, 2 | eqsstri 3056 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
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-io 665 ax-5 1381 ax-7 1382 ax-gen 1383 ax-ie1 1427 ax-ie2 1428 ax-8 1440 ax-10 1441 ax-11 1442 ax-i12 1443 ax-bndl 1444 ax-4 1445 ax-17 1464 ax-i9 1468 ax-ial 1472 ax-i5r 1473 ax-ext 2070 |
This theorem depends on definitions: df-bi 115 df-nf 1395 df-sb 1693 df-clab 2075 df-cleq 2081 df-clel 2084 df-nfc 2217 df-in 3005 df-ss 3012 df-opab 3900 df-xp 4444 df-ltr 7276 |
This theorem is referenced by: gt0srpr 7294 recexgt0sr 7319 addgt0sr 7321 mulgt0sr 7323 caucvgsrlemcl 7334 caucvgsrlemasr 7335 caucvgsrlemfv 7336 ltresr 7376 axpre-ltirr 7417 axpre-lttrn 7419 |
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