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Mirrors > Home > ILE Home > Th. List > ancom2s | Unicode version |
Description: Inference commuting a nested conjunction in antecedent. (Contributed by NM, 24-May-2006.) (Proof shortened by Wolf Lammen, 24-Nov-2012.) |
Ref | Expression |
---|---|
an12s.1 |
Ref | Expression |
---|---|
ancom2s |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | pm3.22 252 | . 2 | |
2 | an12s.1 | . 2 | |
3 | 1, 2 | sylan2 270 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 97 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 |
This theorem is referenced by: an42s 523 ordsuc 4287 xpexr2m 4762 f1elima 5412 f1imaeq 5414 isosolem 5463 caovlem2d 5693 2ndconst 5843 prarloclem4 6596 mulsub 7398 leltadd 7442 divmul24ap 7692 |
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