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Mirrors > Home > ILE Home > Th. List > ancomsd | Unicode version |
Description: Deduction commuting conjunction in antecedent. (Contributed by NM, 12-Dec-2004.) |
Ref | Expression |
---|---|
ancomsd.1 |
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Ref | Expression |
---|---|
ancomsd |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ancom 264 |
. 2
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2 | ancomsd.1 |
. 2
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3 | 1, 2 | syl5bi 151 |
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: sylan2d 292 mpand 426 anabsi6 570 ralxfrd 4437 rexxfrd 4438 poirr2 4993 smoel 6262 genprndl 7456 genprndu 7457 addcanprlemu 7550 leltadd 8339 lemul12b 8750 lbzbi 9548 dvdssub2 11769 odzdvds 12171 |
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