Metamath Proof Explorer


Theorem ad2antrl

Description: Deduction adding two conjuncts to antecedent. (Contributed by NM, 19-Oct-1999)

Ref Expression
Hypothesis ad2ant.1 φ ψ
Assertion ad2antrl χ φ θ ψ

Proof

Step Hyp Ref Expression
1 ad2ant.1 φ ψ
2 1 adantl χ φ ψ
3 2 adantrr χ φ θ ψ