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Theorem 3ancomb 943
Description: Commutation law for triple conjunction. (Contributed by NM, 21-Apr-1994.)
Assertion
Ref Expression
3ancomb ((φ ψ χ) ↔ (φ χ ψ))

Proof of Theorem 3ancomb
StepHypRef Expression
1 3ancoma 941 . 2 ((φ ψ χ) ↔ (ψ φ χ))
2 3anrot 939 . 2 ((ψ φ χ) ↔ (φ χ ψ))
31, 2bitri 240 1 ((φ ψ χ) ↔ (φ χ ψ))
Colors of variables: wff setvar class
Syntax hints:  wb 176   w3a 934
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8
This theorem depends on definitions:  df-bi 177  df-an 360  df-3an 936
This theorem is referenced by:  3simpb  953
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