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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 |
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hbral.2 |
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Ref | Expression |
---|---|
hbral |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-ral 2753 |
. 2
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2 | hbral.1 |
. . . 4
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3 | hbral.2 |
. . . 4
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4 | 2, 3 | hbim 2015 |
. . 3
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5 | 4 | hbal 1932 |
. 2
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6 | 1, 5 | hbxfrbi 1704 |
1
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Colors of variables: wff setvar class |
Syntax hints: ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1679 ax-4 1692 ax-5 1768 ax-6 1815 ax-7 1861 ax-10 1925 ax-11 1930 ax-12 1943 |
This theorem depends on definitions: df-bi 190 df-an 377 df-ex 1674 df-nf 1678 df-ral 2753 |
This theorem is referenced by: tratrbVD 37297 |
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