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Mirrors > Home > ILE Home > Th. List > exalim | Unicode version |
Description: One direction of a classical definition of existential quantification. One direction of Definition of [Margaris] p. 49. For a decidable proposition, this is an equivalence, as seen as dfexdc 1501. (Contributed by Jim Kingdon, 29-Jul-2018.) |
Ref | Expression |
---|---|
exalim |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | alnex 1499 |
. . 3
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2 | 1 | biimpi 120 |
. 2
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3 | 2 | con2i 627 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() |
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-5 1447 ax-gen 1449 ax-ie2 1494 |
This theorem depends on definitions: df-bi 117 df-tru 1356 df-fal 1359 |
This theorem is referenced by: n0rf 3435 ax9vsep 4123 |
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