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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 2403 | . . 3 | |
2 | 1 | biimpi 119 | . 2 |
3 | 2 | con2i 601 | 1 |
Colors of variables: wff set class |
Syntax hints: wn 3 wi 4 wral 2393 wrex 2394 |
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 588 ax-in2 589 ax-5 1408 ax-gen 1410 ax-ie2 1455 |
This theorem depends on definitions: df-bi 116 df-tru 1319 df-fal 1322 df-ral 2398 df-rex 2399 |
This theorem is referenced by: infnlbti 6881 |
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