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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 |
Ref | Expression |
---|---|
ancomsd |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ancom 264 | . 2 | |
2 | ancomsd.1 | . 2 | |
3 | 1, 2 | syl5bi 151 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 |
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 425 anabsi6 554 ralxfrd 4353 rexxfrd 4354 poirr2 4901 smoel 6165 genprndl 7297 genprndu 7298 addcanprlemu 7391 leltadd 8177 lemul12b 8587 lbzbi 9376 dvdssub2 11462 |
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