Theorem
ancomd
Commutation of conjuncts in consequent. (Contributed by Jeff Hankins, 14-Aug-2009.)
Hypothesis
ancomd.1
\( \vdash \varphi \rightarrow \psi \wedge \chi \)
Conclusion
\( \vdash \varphi \rightarrow \chi \wedge \psi \)
Proof
l0
ancomd.1
\( \vdash \varphi \rightarrow \psi \wedge \chi \)
ancom
\( \vdash \psi \wedge \chi \leftrightarrow \chi \wedge \psi \)
sylib
l0
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