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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 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-dc 803 |
. 2
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2 | pm2.21 589 |
. . . 4
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3 | df-mo 1977 |
. . . 4
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4 | 2, 3 | sylibr 133 |
. . 3
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5 | 4 | orim2i 733 |
. 2
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6 | 1, 5 | sylbi 120 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-in2 587 ax-io 681 |
This theorem depends on definitions: df-bi 116 df-dc 803 df-mo 1977 |
This theorem is referenced by: (None) |
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