Metamath Proof Explorer


Theorem bnj721

Description: /\ -manipulation. (Contributed by Jonathan Ben-Naim, 3-Jun-2011) (New usage is discouraged.)

Ref Expression
Hypothesis bnj721.1 ( ( 𝜑𝜓𝜒 ) → 𝜏 )
Assertion bnj721 ( ( 𝜑𝜓𝜒𝜃 ) → 𝜏 )

Proof

Step Hyp Ref Expression
1 bnj721.1 ( ( 𝜑𝜓𝜒 ) → 𝜏 )
2 bnj658 ( ( 𝜑𝜓𝜒𝜃 ) → ( 𝜑𝜓𝜒 ) )
3 2 1 syl ( ( 𝜑𝜓𝜒𝜃 ) → 𝜏 )