Metamath Proof Explorer


Theorem 2a1d

Description: Deduction introducing two antecedents. Two applications of a1d . Deduction associated with 2a1 and 2a1i . (Contributed by BJ, 10-Aug-2020)

Ref Expression
Hypothesis 2a1d.1
|- ( ph -> ps )
Assertion 2a1d
|- ( ph -> ( ch -> ( th -> ps ) ) )

Proof

Step Hyp Ref Expression
1 2a1d.1
 |-  ( ph -> ps )
2 1 a1d
 |-  ( ph -> ( th -> ps ) )
3 2 a1d
 |-  ( ph -> ( ch -> ( th -> ps ) ) )