Theorem
orcoms
Commutation of disjuncts in antecedent. (Contributed by NM, 2-Dec-2012.)
Hypothesis
orcoms.1
\( \vdash \varphi \vee \psi \rightarrow \chi \)
Conclusion
\( \vdash \psi \vee \varphi \rightarrow \chi \)
Proof
l0
pm1.4
\( \vdash \psi \vee \varphi \rightarrow \varphi \vee \psi \)
orcoms.1
\( \vdash \varphi \vee \psi \rightarrow \chi \)
syl
l0
_
This is the content in the right pane.