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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 1430. (Contributed by Jim Kingdon, 29-Jul-2018.) |
Ref | Expression |
---|---|
exalim |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | alnex 1428 | . . 3 | |
2 | 1 | biimpi 118 | . 2 |
3 | 2 | con2i 589 | 1 |
Colors of variables: wff set class |
Syntax hints: wn 3 wi 4 wal 1282 wex 1421 |
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-in1 576 ax-in2 577 ax-5 1376 ax-gen 1378 ax-ie2 1423 |
This theorem depends on definitions: df-bi 115 df-tru 1287 df-fal 1290 |
This theorem is referenced by: n0rf 3260 ax9vsep 3901 |
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