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Mirrors > Home > ILE Home > Th. List > hbnt | Unicode version |
Description: Closed theorem version of bound-variable hypothesis builder hbn 1654. (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 1510 |
. . . 4
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2 | 1 | con3i 632 |
. . 3
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3 | ax6b 1651 |
. . 3
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4 | 2, 3 | syl 14 |
. 2
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5 | con3 642 |
. . 3
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6 | 5 | al2imi 1458 |
. 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 106 ax-ia2 107 ax-ia3 108 ax-in1 614 ax-in2 615 ax-5 1447 ax-gen 1449 ax-ie2 1494 ax-4 1510 ax-ial 1534 |
This theorem depends on definitions: df-bi 117 df-tru 1356 df-fal 1359 |
This theorem is referenced by: hbn 1654 hbnd 1655 nfnt 1656 |
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