Metamath Proof Explorer


Theorem bnj705

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

Ref Expression
Hypothesis bnj705.1 ( 𝜑𝜏 )
Assertion bnj705 ( ( 𝜑𝜓𝜒𝜃 ) → 𝜏 )

Proof

Step Hyp Ref Expression
1 bnj705.1 ( 𝜑𝜏 )
2 bnj642 ( ( 𝜑𝜓𝜒𝜃 ) → 𝜑 )
3 2 1 syl ( ( 𝜑𝜓𝜒𝜃 ) → 𝜏 )