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Mirrors > Home > NFE Home > Th. List > 3adant3r1 | Unicode version |
Description: Deduction adding a conjunct to antecedent. (Contributed by NM, 16-Feb-2008.) |
Ref | Expression |
---|---|
3exp.1 |
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Ref | Expression |
---|---|
3adant3r1 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 3exp.1 |
. . 3
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2 | 1 | 3expb 1152 |
. 2
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3 | 2 | 3adantr1 1114 |
1
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Colors of variables: wff setvar class |
Syntax hints: ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 |
This theorem depends on definitions: df-bi 177 df-an 360 df-3an 936 |
This theorem is referenced by: (None) |
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