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Mirrors > Home > ILE Home > Th. List > 19.33bdc | Unicode version |
Description: Converse of 19.33 1482 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 1627 (Contributed by Jim Kingdon, 23-Apr-2018.) |
Ref | Expression |
---|---|
19.33bdc | DECID |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ianordc 899 | . 2 DECID | |
2 | 19.33b2 1627 | . 2 | |
3 | 1, 2 | syl6bi 163 | 1 DECID |
Colors of variables: wff set class |
Syntax hints: wn 3 wi 4 wa 104 wb 105 wo 708 DECID wdc 834 wal 1351 wex 1490 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 106 ax-ia2 107 ax-ia3 108 ax-in1 614 ax-in2 615 ax-io 709 ax-5 1445 ax-gen 1447 ax-ie2 1492 |
This theorem depends on definitions: df-bi 117 df-dc 835 df-tru 1356 df-fal 1359 |
This theorem is referenced by: (None) |
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