Metamath Proof Explorer


Theorem 2sp

Description: A double specialization (see sp ). Another double specialization, closer to PM*11.1, is 2stdpc4 . (Contributed by BJ, 15-Sep-2018)

Ref Expression
Assertion 2sp ( ∀ 𝑥 ∀ 𝑦 𝜑 → 𝜑 )

Proof

Step Hyp Ref Expression
1 sp ⊢ ( ∀ 𝑦 𝜑 → 𝜑 )
2 1 sps ⊢ ( ∀ 𝑥 ∀ 𝑦 𝜑 → 𝜑 )