Metamath Proof Explorer


Theorem 3ad2antl2

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

Ref Expression
Hypothesis 3ad2antl.1 φ χ θ
Assertion 3ad2antl2 ψ φ τ χ θ

Proof

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