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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 |
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hbim |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-4 1521 |
. . 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 1546 |
. 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 1466 |
. 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 1458 ax-gen 1460 ax-4 1521 ax-i5r 1546 |
This theorem is referenced by: hbbi 1559 hbia1 1563 19.21h 1568 19.38 1687 hbsbv 1953 hbmo1 2076 hbmo 2077 moexexdc 2122 2eu4 2131 cleqh 2289 hbral 2519 |
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