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Mirrors > Home > ILE Home > Th. List > an12 | Unicode version |
Description: Swap two conjuncts. Note that the first digit (1) in the label refers to the outer conjunct position, and the next digit (2) to the inner conjunct position. (Contributed by NM, 12-Mar-1995.) |
Ref | Expression |
---|---|
an12 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ancom 266 |
. . 3
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2 | 1 | anbi1i 458 |
. 2
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3 | anass 401 |
. 2
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4 | anass 401 |
. 2
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5 | 2, 3, 4 | 3bitr3i 210 |
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 |
This theorem depends on definitions: df-bi 117 |
This theorem is referenced by: an32 562 an13 563 an12s 565 an4 586 ceqsrexv 2868 rmoan 2938 2reuswapdc 2942 reuind 2943 2rmorex 2944 sbccomlem 3038 elunirab 3823 rexxfrd 4464 opeliunxp 4682 elres 4944 resoprab 5971 ov6g 6012 opabex3d 6122 opabex3 6123 xpassen 6830 distrnqg 7386 distrnq0 7458 rexuz2 9581 2clim 11309 issubrg 13342 isbasis2g 13548 tgval2 13554 |
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