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Mirrors > Home > ILE Home > Th. List > 19.33bdc | Unicode version |
Description: Converse of 19.33 1460 given and a decidability condition. Compare Theorem 19.33 of [Margaris] p. 90. For a version which does not require a decidability condition, see 19.33b2 1608 (Contributed by Jim Kingdon, 23-Apr-2018.) |
Ref | Expression |
---|---|
19.33bdc | DECID |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ianordc 884 | . 2 DECID | |
2 | 19.33b2 1608 | . 2 | |
3 | 1, 2 | syl6bi 162 | 1 DECID |
Colors of variables: wff set class |
Syntax hints: wn 3 wi 4 wa 103 wb 104 wo 697 DECID wdc 819 wal 1329 wex 1468 |
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-in1 603 ax-in2 604 ax-io 698 ax-5 1423 ax-gen 1425 ax-ie2 1470 |
This theorem depends on definitions: df-bi 116 df-dc 820 df-tru 1334 df-fal 1337 |
This theorem is referenced by: (None) |
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