This is an inofficial mirror of http://metamath.tirix.org for personal testing of a visualizer extension only.

Metamath Proof Explorer

Theorem pm3.4

Description: Conjunction implies implication. Theorem *3.4 of WhiteheadRussell p. 113. (Contributed by NM, 31-Jul-1995)

Ref Expression
Assertion pm3.4 ( ( 𝜑 ∧ 𝜓 ) → ( 𝜑 → 𝜓 ) )

Proof

Step Hyp Ref Expression
1 simpr ⊢ ( ( 𝜑 ∧ 𝜓 ) → 𝜓 )
2 1 a1d ⊢ ( ( 𝜑 ∧ 𝜓 ) → ( 𝜑 → 𝜓 ) )