Metamath Proof Explorer

Theorem alanimi

Description: Variant of al2imi with conjunctive antecedent. (Contributed by Andrew Salmon, 8-Jun-2011)

Ref Expression
Hypothesis alanimi.1 φ ψ χ
Assertion alanimi x φ x ψ x χ


Step Hyp Ref Expression
1 alanimi.1 φ ψ χ
2 1 ex φ ψ χ
3 2 al2imi x φ x ψ x χ
4 3 imp x φ x ψ x χ