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Mirrors > Home > ILE Home > Th. List > rexalim | Unicode version |
Description: Relationship between restricted universal and existential quantifiers. (Contributed by Jim Kingdon, 17-Aug-2018.) |
Ref | Expression |
---|---|
rexalim |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ralnex 2316 | . . 3 | |
2 | 1 | biimpi 113 | . 2 |
3 | 2 | con2i 557 | 1 |
Colors of variables: wff set class |
Syntax hints: wn 3 wi 4 wral 2306 wrex 2307 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 ax-in1 544 ax-in2 545 ax-5 1336 ax-gen 1338 ax-ie2 1383 |
This theorem depends on definitions: df-bi 110 df-tru 1246 df-fal 1249 df-ral 2311 df-rex 2312 |
This theorem is referenced by: (None) |
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