Theorem
con4d
Deduction associated with
con4
. (Contributed by NM, 26-Mar-1995.)
Hypothesis
con4d.1
\( \vdash \varphi \rightarrow \neg \psi \rightarrow \neg \chi \)
Conclusion
\( \vdash \varphi \rightarrow \chi \rightarrow \psi \)
Proof
l0
con4d.1
\( \vdash \varphi \rightarrow \neg \psi \rightarrow \neg \chi \)
con4
\( \vdash (\neg \psi \rightarrow \neg \chi) \rightarrow \chi \rightarrow \psi \)
syl
l0
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