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Mirrors > Home > ILE Home > Th. List > rexm | Unicode version |
Description: Restricted existential quantification implies its restriction is inhabited. (Contributed by Jim Kingdon, 16-Oct-2018.) |
Ref | Expression |
---|---|
rexm |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-rex 2448 | . 2 | |
2 | simpl 108 | . . 3 | |
3 | 2 | eximi 1587 | . 2 |
4 | 1, 3 | sylbi 120 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 wex 1479 wcel 2135 wrex 2443 |
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-5 1434 ax-gen 1436 ax-ie1 1480 ax-ie2 1481 ax-4 1497 ax-ial 1521 |
This theorem depends on definitions: df-bi 116 df-rex 2448 |
This theorem is referenced by: eusvobj2 5822 exmidomni 7097 fodjum 7101 |
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