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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 ) )