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Mirrors > Home > ILE Home > Th. List > 19.9d | Unicode version |
Description: A deduction version of one direction of 19.9 1644. (Contributed by NM, 5-Aug-1993.) (Revised by Mario Carneiro, 24-Sep-2016.) |
Ref | Expression |
---|---|
19.9d.1 |
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Ref | Expression |
---|---|
19.9d |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 19.9d.1 |
. . 3
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2 | 19.9t 1642 |
. . 3
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3 | 1, 2 | syl 14 |
. 2
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4 | 3 | biimpd 144 |
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-gen 1449 ax-ie1 1493 ax-ie2 1494 ax-4 1510 |
This theorem depends on definitions: df-bi 117 df-nf 1461 |
This theorem is referenced by: (None) |
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