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Mirrors > Home > ILE Home > Th. List > hbral | 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 2358 |
. 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 1478 |
. . 3
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5 | 4 | hbal 1407 |
. 2
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6 | 1, 5 | hbxfrbi 1402 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 ax-5 1377 ax-7 1378 ax-gen 1379 ax-4 1441 ax-i5r 1469 |
This theorem depends on definitions: df-bi 115 df-ral 2358 |
This theorem is referenced by: (None) |
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