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Mirrors > Home > ILE Home > Th. List > 3adant2l | Unicode version |
Description: Deduction adding a conjunct to antecedent. (Contributed by NM, 8-Jan-2006.) |
Ref | Expression |
---|---|
3adant1l.1 |
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Ref | Expression |
---|---|
3adant2l |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 3adant1l.1 |
. . . 4
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2 | 1 | 3com12 1148 |
. . 3
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3 | 2 | 3adant1l 1167 |
. 2
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4 | 3 | 3com12 1148 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 |
This theorem depends on definitions: df-bi 116 df-3an 927 |
This theorem is referenced by: sbthlemi4 6723 addassnqg 7002 mulassnqg 7004 prmuloc 7186 ltpopr 7215 addasssrg 7363 axaddass 7468 |
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