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Theorem 3ancoma 891
Description: Commutation law for triple conjunction. (Contributed by NM, 21-Apr-1994.)
Assertion
Ref Expression
3ancoma

Proof of Theorem 3ancoma
StepHypRef Expression
1 ancom 253 . . 3
21anbi1i 431 . 2
3 df-3an 886 . 2
4 df-3an 886 . 2
52, 3, 43bitr4i 201 1
Colors of variables: wff set class
Syntax hints:   wa 97   wb 98   w3a 884
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 depends on definitions:  df-bi 110  df-3an 886
This theorem is referenced by:  3ancomb  892  3anrev  894  3anan12  896  3com12  1107  elfzmlbp  8760  elfzo2  8777
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