Metamath Proof Explorer


Theorem 3ad2antl3

Description: Deduction adding conjuncts to antecedent. (Contributed by NM, 4-Aug-2007)

Ref Expression
Hypothesis 3ad2antl.1 φ χ θ
Assertion 3ad2antl3 ψ τ φ χ θ

Proof

Step Hyp Ref Expression
1 3ad2antl.1 φ χ θ
2 1 adantll τ φ χ θ
3 2 3adantl1 ψ τ φ χ θ