Metamath Proof Explorer


Theorem ad2ant2l

Description: Deduction adding two conjuncts to antecedent. (Contributed by NM, 8-Jan-2006)

Ref Expression
Hypothesis ad2ant2.1 φ ψ χ
Assertion ad2ant2l θ φ τ ψ χ

Proof

Step Hyp Ref Expression
1 ad2ant2.1 φ ψ χ
2 1 adantrl φ τ ψ χ
3 2 adantll θ φ τ ψ χ