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Mirrors > Home > ILE Home > Th. List > hbim | Unicode version |
Description: If ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Ref | Expression |
---|---|
hb.1 |
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hb.2 |
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Ref | Expression |
---|---|
hbim |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-4 1488 |
. . 3
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2 | hb.2 |
. . 3
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3 | 1, 2 | imim12i 59 |
. 2
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4 | ax-i5r 1516 |
. 2
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5 | hb.1 |
. . . 4
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6 | 5 | imim1i 60 |
. . 3
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7 | 6 | alimi 1432 |
. 2
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8 | 3, 4, 7 | 3syl 17 |
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-5 1424 ax-gen 1426 ax-4 1488 ax-i5r 1516 |
This theorem is referenced by: hbbi 1528 hbia1 1532 19.21h 1537 19.38 1655 hbsbv 1915 hbmo1 2038 hbmo 2039 moexexdc 2084 2eu4 2093 cleqh 2240 hbral 2467 |
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