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Mirrors > Home > ILE Home > Th. List > exmodc | Unicode version |
Description: If existence is decidable, something exists or at most one exists. (Contributed by Jim Kingdon, 30-Jun-2018.) |
Ref | Expression |
---|---|
exmodc | DECID |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-dc 776 | . 2 DECID | |
2 | pm2.21 579 | . . . 4 | |
3 | df-mo 1945 | . . . 4 | |
4 | 2, 3 | sylibr 132 | . . 3 |
5 | 4 | orim2i 710 | . 2 |
6 | 1, 5 | sylbi 119 | 1 DECID |
Colors of variables: wff set class |
Syntax hints: wn 3 wi 4 wo 661 DECID wdc 775 wex 1421 weu 1941 wmo 1942 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 ax-in2 577 ax-io 662 |
This theorem depends on definitions: df-bi 115 df-dc 776 df-mo 1945 |
This theorem is referenced by: (None) |
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