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Mirrors > Home > ILE Home > Th. List > hbnt | Unicode version |
Description: Closed theorem version of bound-variable hypothesis builder hbn 1633. (Contributed by NM, 5-Aug-1993.) (Revised by NM, 2-Feb-2015.) |
Ref | Expression |
---|---|
hbnt |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-4 1488 |
. . . 4
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2 | 1 | con3i 622 |
. . 3
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3 | ax6b 1630 |
. . 3
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4 | 2, 3 | syl 14 |
. 2
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5 | con3 632 |
. . 3
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6 | 5 | al2imi 1435 |
. 2
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7 | 4, 6 | syl5 32 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() |
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-in1 604 ax-in2 605 ax-5 1424 ax-gen 1426 ax-ie2 1471 ax-4 1488 ax-ial 1515 |
This theorem depends on definitions: df-bi 116 df-tru 1335 df-fal 1338 |
This theorem is referenced by: hbn 1633 hbnd 1634 nfnt 1635 |
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