Metamath Proof Explorer

Theorem eeanv

Description: Distribute a pair of existential quantifiers over a conjunction. Combination of 19.41v and 19.42v . For a version requiring fewer axioms but with additional disjoint variable conditions, see exdistrv . (Contributed by NM, 26-Jul-1995)

Ref Expression
Assertion eeanv x y φ ψ x φ y ψ


Step Hyp Ref Expression
1 nfv y φ
2 nfv x ψ
3 1 2 eean x y φ ψ x φ y ψ