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Mirrors > Home > ILE Home > Th. List > pm5.71dc | Unicode version |
Description: Decidable proposition version of theorem *5.71 of [WhiteheadRussell] p. 125. (Contributed by Roy F. Longton, 23-Jun-2005.) (Modified for decidability by Jim Kingdon, 19-Apr-2018.) |
Ref | Expression |
---|---|
pm5.71dc | DECID |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | orel2 716 | . . . . 5 | |
2 | orc 702 | . . . . 5 | |
3 | 1, 2 | impbid1 141 | . . . 4 |
4 | 3 | anbi1d 461 | . . 3 |
5 | 4 | a1i 9 | . 2 DECID |
6 | pm2.21 607 | . . 3 | |
7 | 6 | pm5.32rd 447 | . 2 |
8 | 5, 7 | jadc 849 | 1 DECID |
Colors of variables: wff set class |
Syntax hints: wn 3 wi 4 wa 103 wb 104 wo 698 DECID wdc 820 |
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 605 ax-io 699 |
This theorem depends on definitions: df-bi 116 df-dc 821 |
This theorem is referenced by: (None) |
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