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Mirrors > Home > ILE Home > Th. List > pm2.53 | Unicode version |
Description: Theorem *2.53 of [WhiteheadRussell] p. 107. This holds intuitionistically, although its converse does not (see pm2.54dc 861). (Contributed by NM, 3-Jan-2005.) (Revised by NM, 31-Jan-2015.) |
Ref | Expression |
---|---|
pm2.53 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | pm2.24 595 | . 2 | |
2 | ax-1 6 | . 2 | |
3 | 1, 2 | jaoi 690 | 1 |
Colors of variables: wff set class |
Syntax hints: wn 3 wi 4 wo 682 |
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 589 ax-io 683 |
This theorem depends on definitions: df-bi 116 |
This theorem is referenced by: ori 697 ord 698 orel1 699 pm2.63 774 notnotrdc 813 dfordc 862 pm5.6r 897 xorbin 1347 19.33b2 1593 onsucelsucexmid 4415 oprabidlem 5770 omnimkv 6998 xnn0nnn0pnf 9021 absle 10829 |
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