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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 1477. (Contributed by Jim Kingdon, 29-Jul-2018.) |
Ref | Expression |
---|---|
exalim |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | alnex 1475 | . . 3 | |
2 | 1 | biimpi 119 | . 2 |
3 | 2 | con2i 616 | 1 |
Colors of variables: wff set class |
Syntax hints: wn 3 wi 4 wal 1329 wex 1468 |
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 603 ax-in2 604 ax-5 1423 ax-gen 1425 ax-ie2 1470 |
This theorem depends on definitions: df-bi 116 df-tru 1334 df-fal 1337 |
This theorem is referenced by: n0rf 3375 ax9vsep 4051 |
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