Metamath Proof Explorer


Theorem 2exim

Description: Theorem *11.34 in WhiteheadRussell p. 162. Theorem 19.22 of Margaris p. 90 with 2 quantifiers. (Contributed by Andrew Salmon, 24-May-2011)

Ref Expression
Assertion 2exim x y φ ψ x y φ x y ψ

Proof

Step Hyp Ref Expression
1 exim y φ ψ y φ y ψ
2 1 aleximi x y φ ψ x y φ x y ψ