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Mirrors > Home > NFE Home > Th. List > alral | Unicode version |
Description: Universal quantification implies restricted quantification. (Contributed by NM, 20-Oct-2006.) |
Ref | Expression |
---|---|
alral |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-1 6 | . . 3 | |
2 | 1 | alimi 1559 | . 2 |
3 | df-ral 2619 | . 2 | |
4 | 2, 3 | sylibr 203 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wal 1540 wcel 1710 wral 2614 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1546 ax-5 1557 |
This theorem depends on definitions: df-bi 177 df-ral 2619 |
This theorem is referenced by: (None) |
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