Metamath Proof Explorer


Theorem bj-19.21bit

Description: Closed form of 19.21bi . (Contributed by BJ, 20-Oct-2019)

Ref Expression
Assertion bj-19.21bit ( ( 𝜑 → ∀ 𝑥 𝜓 ) → ( 𝜑𝜓 ) )

Proof

Step Hyp Ref Expression
1 sp ( ∀ 𝑥 𝜓𝜓 )
2 1 imim2i ( ( 𝜑 → ∀ 𝑥 𝜓 ) → ( 𝜑𝜓 ) )