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Mirrors > Home > MPE Home > Th. List > hbral | Structured version Visualization version Unicode version |
Description: Bound-variable hypothesis builder for restricted quantification. (Contributed by NM, 1-Sep-1999.) (Revised by David Abernethy, 13-Dec-2009.) |
Ref | Expression |
---|---|
hbral.1 | |
hbral.2 |
Ref | Expression |
---|---|
hbral |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-ral 2917 | . 2 | |
2 | hbral.1 | . . . 4 | |
3 | hbral.2 | . . . 4 | |
4 | 2, 3 | hbim 2127 | . . 3 |
5 | 4 | hbal 2036 | . 2 |
6 | 1, 5 | hbxfrbi 1752 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wal 1481 wcel 1990 wral 2912 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1722 ax-4 1737 ax-5 1839 ax-6 1888 ax-7 1935 ax-10 2019 ax-11 2034 ax-12 2047 |
This theorem depends on definitions: df-bi 197 df-ex 1705 df-nf 1710 df-ral 2917 |
This theorem is referenced by: tratrbVD 39097 |
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