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Mirrors > Home > ILE Home > Th. List > 19.32dc | Unicode version |
Description: Theorem 19.32 of [Margaris] p. 90, where is decidable. (Contributed by Jim Kingdon, 4-Jun-2018.) |
Ref | Expression |
---|---|
19.32dc.1 |
Ref | Expression |
---|---|
19.32dc | DECID |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 19.32dc.1 | . . . . 5 | |
2 | 1 | nfn 1638 | . . . 4 |
3 | 2 | 19.21 1563 | . . 3 |
4 | 3 | a1i 9 | . 2 DECID |
5 | 1 | nfdc 1639 | . . 3 DECID |
6 | dfordc 878 | . . 3 DECID | |
7 | 5, 6 | albid 1595 | . 2 DECID |
8 | dfordc 878 | . 2 DECID | |
9 | 4, 7, 8 | 3bitr4d 219 | 1 DECID |
Colors of variables: wff set class |
Syntax hints: wn 3 wi 4 wb 104 wo 698 DECID wdc 820 wal 1333 wnf 1440 |
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 604 ax-in2 605 ax-io 699 ax-5 1427 ax-gen 1429 ax-ie2 1474 ax-4 1490 ax-ial 1514 ax-i5r 1515 |
This theorem depends on definitions: df-bi 116 df-dc 821 df-tru 1338 df-fal 1341 df-nf 1441 |
This theorem is referenced by: (None) |
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