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Mirrors > Home > ILE Home > Th. List > 3imtr3d | Unicode version |
Description: More general version of 3imtr3i 199. Useful for converting conditional definitions in a formula. (Contributed by NM, 8-Apr-1996.) |
Ref | Expression |
---|---|
3imtr3d.1 |
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3imtr3d.2 |
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3imtr3d.3 |
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Ref | Expression |
---|---|
3imtr3d |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 3imtr3d.2 |
. 2
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2 | 3imtr3d.1 |
. . 3
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3 | 3imtr3d.3 |
. . 3
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4 | 2, 3 | sylibd 148 |
. 2
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5 | 1, 4 | sylbird 169 |
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 |
This theorem depends on definitions: df-bi 116 |
This theorem is referenced by: f1imass 5683 fornex 6021 tposfn2 6171 eroveu 6528 ismkvnex 7037 indpi 7174 axcaucvglemres 7731 caucvgrelemcau 10784 limccnpcntop 12852 sincosq1sgn 12955 sincosq2sgn 12956 subctctexmid 13369 |
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