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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 |
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Ref | Expression |
---|---|
ancom2s |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | pm3.22 263 |
. 2
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2 | an12s.1 |
. 2
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3 | 1, 2 | sylan2 284 |
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 is referenced by: an42s 579 ordsuc 4486 xpexr2m 4988 f1elima 5682 f1imaeq 5684 isosolem 5733 caovlem2d 5971 2ndconst 6127 isotilem 6901 prarloclem4 7330 mulsub 8187 leltadd 8233 eqord1 8269 divmul24ap 8500 fprodseq 11384 blcomps 12604 blcom 12605 cxple 13045 cxple3 13049 |
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