Metamath Proof Explorer


Theorem 3ad2antl1

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

Ref Expression
Hypothesis 3ad2antl.1 φχθ
Assertion 3ad2antl1 φψτχθ

Proof

Step Hyp Ref Expression
1 3ad2antl.1 φχθ
2 1 adantlr φτχθ
3 2 3adantl2 φψτχθ