Theorem simpr1l

Simplification of conjunction. (Contributed by NM, 9-Mar-2012.) (Proof shortened by Wolf Lammen, 24-Jun-2022.)

Conclusion

\( \vdash \tau \wedge (\varphi \wedge \psi \wedge \chi \wedge \theta) \rightarrow \varphi \)

Proof

simprl

3ad2antr1 _