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Mirrors > Home > ILE Home > Th. List > imim1i | Unicode version |
Description: Inference adding common consequents in an implication, thereby interchanging the original antecedent and consequent. (Contributed by NM, 5-Aug-1993.) (Proof shortened by Wolf Lammen, 4-Aug-2012.) |
Ref | Expression |
---|---|
imim1i.1 |
Ref | Expression |
---|---|
imim1i |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | imim1i.1 | . 2 | |
2 | id 19 | . 2 | |
3 | 1, 2 | imim12i 59 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 |
This theorem is referenced by: jarr 97 bi3ant 223 pm3.41 329 pm3.42 330 jarl 647 pm2.67-2 702 oibabs 703 stdcn 832 pm2.85dc 890 peircedc 899 3jaob 1280 hbim 1524 hbimd 1552 i19.39 1619 hbae 1696 sbcof2 1782 sb4or 1805 tfi 4496 dmcosseq 4810 fliftfun 5697 tfrcl 6261 ac6sfi 6792 fsum2d 11204 fsumabs 11234 fsumiun 11246 bj-nnsn 12945 bj-pm2.18st 12958 setindis 13165 bdsetindis 13167 |
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