Metamath Proof Explorer


Theorem pm3.41

Description: Theorem *3.41 of WhiteheadRussell p. 113. (Contributed by NM, 3-Jan-2005)

Ref Expression
Assertion pm3.41 ⊢ φ → χ → φ ∧ ψ → χ

Proof

Step Hyp Ref Expression
1 simpl ⊢ φ ∧ ψ → φ
2 1 imim1i ⊢ φ → χ → φ ∧ ψ → χ