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Mirrors > Home > ILE Home > Th. List > maxcom | Unicode version |
Description: The maximum of two reals is commutative. Lemma 3.9 of [Geuvers], p. 10. (Contributed by Jim Kingdon, 21-Dec-2021.) |
Ref | Expression |
---|---|
maxcom |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | prcom 3468 | . 2 | |
2 | 1 | supeq1i 6401 | 1 |
Colors of variables: wff set class |
Syntax hints: wceq 1284 cpr 3399 csup 6395 cr 6980 clt 7153 |
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 662 ax-5 1376 ax-7 1377 ax-gen 1378 ax-ie1 1422 ax-ie2 1423 ax-8 1435 ax-10 1436 ax-11 1437 ax-i12 1438 ax-bndl 1439 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-tru 1287 df-nf 1390 df-sb 1686 df-clab 2068 df-cleq 2074 df-clel 2077 df-nfc 2208 df-ral 2353 df-rex 2354 df-rab 2357 df-v 2603 df-un 2977 df-pr 3405 df-uni 3602 df-sup 6397 |
This theorem is referenced by: maxle2 10098 maxclpr 10108 |
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